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155308920 = 233513293433
BaseRepresentation
bin10010100000111…
…01001101111000
3101211020111210020
421100131031320
5304224341140
623224450440
73564050454
oct1120351570
9354214706
10155308920
117a738988
1244019a20
132623a490
14168ab664
15d97c6d0
hex941d378

155308920 has 128 divisors (see below), whose sum is σ = 519220800. Its totient is φ = 36900864.

The previous prime is 155308919. The next prime is 155308927. The reversal of 155308920 is 29803551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155308927) 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 31 ways as a sum of consecutive naturals, for example, 43524 + ... + 46956.

Almost surely, 2155308920 is an apocalyptic number.

155308920 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 155308920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259610400).

155308920 is an abundant number, since it is smaller than the sum of its proper divisors (363911880).

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

155308920 is a wasteful number, since it uses less digits than its factorization.

155308920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 155308920 is about 12462.2999482439. The cubic root of 155308920 is about 537.5251634154.

The spelling of 155308920 in words is "one hundred fifty-five million, three hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3433 3480 3770 4524 5655 6866 7540 9048 10299 11310 13732 15080 17165 20598 22620 27464 34330 41196 44629 45240 51495 68660 82392 89258 99557 102990 133887 137320 178516 199114 205980 223145 267774 298671 357032 398228 411960 446290 497785 535548 597342 669435 796456 892580 995570 1071096 1194684 1294241 1338870 1493355 1785160 1991140 2389368 2588482 2677740 2986710 3882723 3982280 5176964 5355480 5973420 6471205 7765446 10353928 11946840 12942410 15530892 19413615 25884820 31061784 38827230 51769640 77654460 155308920