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155019072 = 26313173359
BaseRepresentation
bin10010011110101…
…10011101000000
3101210200210012010
421033112131000
5304141102242
623214332520
73561432435
oct1117263500
9353623163
10155019072
117a56013a
1243aba140
1326168580
1416833b8c
15d92189c
hex93d6740

155019072 has 112 divisors (see below), whose sum is σ = 445495680. Its totient is φ = 47290368.

The previous prime is 155019071. The next prime is 155019083. The reversal of 155019072 is 270910551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155019071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 431629 + ... + 431987.

It is an arithmetic number, because the mean of its divisors is an integer number (3977640).

Almost surely, 2155019072 is an apocalyptic number.

155019072 is a gapful number since it is divisible by the number (12) 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 155019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222747840).

155019072 is an abundant number, since it is smaller than the sum of its proper divisors (290476608).

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

155019072 is a wasteful number, since it uses less digits than its factorization.

155019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 155019072 is about 12450.6655243806. The cubic root of 155019072 is about 537.1905665873.

The spelling of 155019072 in words is "one hundred fifty-five million, nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 173 192 208 312 346 359 416 519 624 692 718 832 1038 1077 1248 1384 1436 2076 2154 2249 2496 2768 2872 4152 4308 4498 4667 5536 5744 6747 8304 8616 8996 9334 11072 11488 13494 14001 16608 17232 17992 18668 22976 26988 28002 33216 34464 35984 37336 53976 56004 62107 68928 71968 74672 107952 112008 124214 143936 149344 186321 215904 224016 248428 298688 372642 431808 448032 496856 745284 807391 896064 993712 1490568 1614782 1987424 2422173 2981136 3229564 3974848 4844346 5962272 6459128 9688692 11924544 12918256 19377384 25836512 38754768 51673024 77509536 155019072