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155330040 = 233523167337
BaseRepresentation
bin10010100001000…
…10010111111000
3101211021120202110
421100202113320
5304231030130
623225132320
73564166155
oct1120422770
9354246673
10155330040
117a752838
124402a0a0
1326246c88
14168b522c
15d983ab0
hex94225f8

155330040 has 128 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 39266304.

The previous prime is 155329987. The next prime is 155330051. The reversal of 155330040 is 40033551.

It is a junction number, because it is equal to n+sod(n) for n = 155329989 and 155330016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460752 + ... + 461088.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2155330040 is an apocalyptic number.

155330040 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 155330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

155330040 is an abundant number, since it is smaller than the sum of its proper divisors (335283720).

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

155330040 is a wasteful number, since it uses less digits than its factorization.

155330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 155330040 is about 12463.1472750666. The cubic root of 155330040 is about 537.5495277960.

Adding to 155330040 its reverse (40033551), we get a palindrome (195363591).

The spelling of 155330040 in words is "one hundred fifty-five million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 167 184 230 276 334 337 345 460 501 552 668 674 690 835 920 1002 1011 1336 1348 1380 1670 1685 2004 2022 2505 2696 2760 3340 3370 3841 4008 4044 5010 5055 6680 6740 7682 7751 8088 10020 10110 11523 13480 15364 15502 19205 20040 20220 23046 23253 30728 31004 38410 38755 40440 46092 46506 56279 57615 62008 76820 77510 92184 93012 112558 115230 116265 153640 155020 168837 186024 225116 230460 232530 281395 310040 337674 450232 460920 465060 562790 675348 844185 930120 1125580 1294417 1350696 1688370 2251160 2588834 3376740 3883251 5177668 6472085 6753480 7766502 10355336 12944170 15533004 19416255 25888340 31066008 38832510 51776680 77665020 155330040