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6940250640 = 243354437253
BaseRepresentation
bin1100111011010101…
…11101001000010000
3122220200022021002000
412131222331020100
5103203201010030
63104401354000
7333662104611
oct63552751020
918820267060
106940250640
112a41655034
121418338900
13867b160ab
1449ba45c08
152a9465860
hex19dabd210

6940250640 has 160 divisors (see below), whose sum is σ = 23962573440. Its totient is φ = 1846301184.

The previous prime is 6940250627. The next prime is 6940250641. The reversal of 6940250640 is 460520496.

6940250640 is a `hidden beast` number, since 6 + 9 + 4 + 0 + 2 + 5 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6940250595 and 6940250604.

It is not an unprimeable number, because it can be changed into a prime (6940250641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953254 + ... + 960506.

It is an arithmetic number, because the mean of its divisors is an integer number (149766084).

Almost surely, 26940250640 is an apocalyptic number.

6940250640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981286720).

6940250640 is an abundant number, since it is smaller than the sum of its proper divisors (17022322800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6940250640 is a wasteful number, since it uses less digits than its factorization.

6940250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6940250640 is about 83308.1667065120. The cubic root of 6940250640 is about 1907.4729369704.

The spelling of 6940250640 in words is "six billion, nine hundred forty million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 443 540 720 886 1080 1329 1772 2160 2215 2658 3544 3987 4430 5316 6645 7088 7253 7974 8860 10632 11961 13290 14506 15948 17720 19935 21264 21759 23922 26580 29012 31896 35440 36265 39870 43518 47844 53160 58024 59805 63792 65277 72530 79740 87036 95688 106320 108795 116048 119610 130554 145060 159480 174072 191376 195831 217590 239220 261108 290120 318960 326385 348144 391662 435180 478440 522216 580240 652770 783324 870360 956880 979155 1044432 1305540 1566648 1740720 1958310 2611080 3133296 3213079 3916620 5222160 6426158 7833240 9639237 12852316 15666480 16065395 19278474 25704632 28917711 32130790 38556948 48196185 51409264 57835422 64261580 77113896 86753133 96392370 115670844 128523160 144588555 154227792 173506266 192784740 231341688 257046320 289177110 347012532 385569480 433765665 462683376 578354220 694025064 771138960 867531330 1156708440 1388050128 1735062660 2313416880 3470125320 6940250640