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156165240 = 233571116901
BaseRepresentation
bin10010100111011…
…10010001111000
3101212212000102210
421103232101320
5304434241430
623255055120
73604245150
oct1123562170
9355760383
10156165240
1180173290
12443714a0
132647a18a
1416a51760
15da9b2b0
hex94ee478

156165240 has 128 divisors (see below), whose sum is σ = 584133120. Its totient is φ = 32448000.

The previous prime is 156165227. The next prime is 156165241. The reversal of 156165240 is 42561651.

156165240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 156165198 and 156165207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156165241) 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, 790 + ... + 17690.

It is an arithmetic number, because the mean of its divisors is an integer number (4563540).

Almost surely, 2156165240 is an apocalyptic number.

156165240 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 156165240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292066560).

156165240 is an abundant number, since it is smaller than the sum of its proper divisors (427967880).

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

156165240 is a wasteful number, since it uses less digits than its factorization.

156165240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16933 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 156165240 is about 12496.6091400828. The cubic root of 156165240 is about 538.5112629538.

The spelling of 156165240 in words is "one hundred fifty-six million, one hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 16901 33802 50703 67604 84505 101406 118307 135208 169010 185911 202812 236614 253515 338020 354921 371822 405624 473228 507030 557733 591535 676040 709842 743644 929555 946456 1014060 1115466 1183070 1301377 1419684 1487288 1774605 1859110 2028120 2230932 2366140 2602754 2788665 2839368 3549210 3718220 3904131 4461864 4732280 5205508 5577330 6506885 7098420 7436440 7808262 10411016 11154660 13013770 14196840 15616524 19520655 22309320 26027540 31233048 39041310 52055080 78082620 156165240