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156860640 = 25325971123
BaseRepresentation
bin10010101100110…
…00000011100000
3101221011100100100
421112120003200
5310124020030
623322022400
73613202436
oct1126300340
9357140310
10156860640
11805a87a2
1244647a00
1326661861
1416b92d56
15db87360
hex95980e0

156860640 has 144 divisors (see below), whose sum is σ = 541286928. Its totient is φ = 41361408.

The previous prime is 156860633. The next prime is 156860687. The reversal of 156860640 is 46068651.

156860640 is a `hidden beast` number, since 1 + 5 + 6 + 8 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 156860595 and 156860604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139119 + ... + 140241.

It is an arithmetic number, because the mean of its divisors is an integer number (3758937).

Almost surely, 2156860640 is an apocalyptic number.

156860640 is a gapful number since it is divisible by the number (10) 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 156860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270643464).

156860640 is an abundant number, since it is smaller than the sum of its proper divisors (384426288).

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

156860640 is a wasteful number, since it uses less digits than its factorization.

156860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 156860640 is about 12524.4017821212. The cubic root of 156860640 is about 539.3094052551.

The spelling of 156860640 in words is "one hundred fifty-six million, eight hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 582 720 776 873 970 1123 1164 1440 1455 1552 1746 1940 2246 2328 2910 3104 3369 3492 3880 4365 4492 4656 5615 5820 6738 6984 7760 8730 8984 9312 10107 11230 11640 13476 13968 15520 16845 17460 17968 20214 22460 23280 26952 27936 33690 34920 35936 40428 44920 46560 50535 53904 67380 69840 80856 89840 101070 107808 108931 134760 139680 161712 179680 202140 217862 269520 323424 326793 404280 435724 539040 544655 653586 808560 871448 980379 1089310 1307172 1617120 1633965 1742896 1960758 2178620 2614344 3267930 3485792 3921516 4357240 4901895 5228688 6535860 7843032 8714480 9803790 10457376 13071720 15686064 17428960 19607580 26143440 31372128 39215160 52286880 78430320 156860640