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155642040 = 23335211683
BaseRepresentation
bin10010100011011…
…10100010111000
3101211212102202000
421101232202320
5304321021130
623235541000
73566635611
oct1121564270
9354772660
10155642040
117a946194
124415a760
1326325ca8
1416956c08
15d9e6260
hex946e8b8

155642040 has 128 divisors (see below), whose sum is σ = 522028800. Its totient is φ = 41247360.

The previous prime is 155641999. The next prime is 155642057. The reversal of 155642040 is 40246551.

155642040 is a `hidden beast` number, since 15 + 5 + 642 + 0 + 4 + 0 = 666.

155642040 is digitally balanced in base 3, because in such base 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 155641995 and 155642013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227539 + ... + 228221.

It is an arithmetic number, because the mean of its divisors is an integer number (4078350).

Almost surely, 2155642040 is an apocalyptic number.

155642040 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 155642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261014400).

155642040 is an abundant number, since it is smaller than the sum of its proper divisors (366386760).

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

155642040 is a wasteful number, since it uses less digits than its factorization.

155642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 155642040 is about 12475.6578984838. The cubic root of 155642040 is about 537.9091991239.

Adding to 155642040 its reverse (40246551), we get a palindrome (195888591).

The spelling of 155642040 in words is "one hundred fifty-five million, six hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 211 216 270 360 422 540 633 683 844 1055 1080 1266 1366 1688 1899 2049 2110 2532 2732 3165 3415 3798 4098 4220 5064 5464 5697 6147 6330 6830 7596 8196 8440 9495 10245 11394 12294 12660 13660 15192 16392 18441 18990 20490 22788 24588 25320 27320 28485 30735 36882 37980 40980 45576 49176 56970 61470 73764 75960 81960 92205 113940 122940 144113 147528 184410 227880 245880 288226 368820 432339 576452 720565 737640 864678 1152904 1297017 1441130 1729356 2161695 2594034 2882260 3458712 3891051 4323390 5188068 5764520 6485085 7782102 8646780 10376136 12970170 15564204 17293560 19455255 25940340 31128408 38910510 51880680 77821020 155642040