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140007840 = 2535741669
BaseRepresentation
bin10000101100001…
…01100110100000
3100202110010122120
420112011212200
5241320222330
621520504240
73320022060
oct1026054640
9322403576
10140007840
1172037a65
123aa7b080
1323010a9b
14148473a0
15c458c10
hex85859a0

140007840 has 96 divisors (see below), whose sum is σ = 504040320. Its totient is φ = 32001024.

The previous prime is 140007839. The next prime is 140007859. The reversal of 140007840 is 48700041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1400078403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140007840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17475 + ... + 24194.

It is an arithmetic number, because the mean of its divisors is an integer number (5250420).

Almost surely, 2140007840 is an apocalyptic number.

140007840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140007840 is an abundant number, since it is smaller than the sum of its proper divisors (364032480).

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

140007840 is a wasteful number, since it uses less digits than its factorization.

140007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41694 (or 41686 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 140007840 is about 11832.4908620290. The cubic root of 140007840 is about 519.2591026598.

Adding to 140007840 its reverse (48700041), we get a palindrome (188707881).

The spelling of 140007840 in words is "one hundred forty million, seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 41669 83338 125007 166676 208345 250014 291683 333352 416690 500028 583366 625035 666704 833380 875049 1000056 1166732 1250070 1333408 1458415 1666760 1750098 2000112 2333464 2500140 2916830 3333520 3500196 4000224 4375245 4666928 5000280 5833660 6667040 7000392 8750490 9333856 10000560 11667320 14000784 17500980 20001120 23334640 28001568 35001960 46669280 70003920 140007840