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155460960 = 25325472297
BaseRepresentation
bin10010100010000…
…10010101100000
3101211112020100100
421101002111200
5304244222320
623232022400
73565252644
oct1121022540
9354466310
10155460960
117a832136
1244091a00
1326291745
141690ac24
15d9ac790
hex9442560

155460960 has 144 divisors (see below), whose sum is σ = 542033856. Its totient is φ = 40556544.

The previous prime is 155460947. The next prime is 155460973. The reversal of 155460960 is 69064551.

It is an interprime number because it is at equal distance from previous prime (155460947) and next prime (155460973).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1554609602 = 48336220168243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66532 + ... + 68828.

It is an arithmetic number, because the mean of its divisors is an integer number (3764124).

Almost surely, 2155460960 is an apocalyptic number.

155460960 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 155460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271016928).

155460960 is an abundant number, since it is smaller than the sum of its proper divisors (386572896).

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

155460960 is a wasteful number, since it uses less digits than its factorization.

155460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 155460960 is about 12468.3984536908. The cubic root of 155460960 is about 537.7005100127.

The spelling of 155460960 in words is "one hundred fifty-five million, four hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2297 2820 3384 3760 4230 4512 4594 5640 6768 6891 7520 8460 9188 11280 11485 13536 13782 16920 18376 20673 22560 22970 27564 33840 34455 36752 41346 45940 55128 67680 68910 73504 82692 91880 103365 107959 110256 137820 165384 183760 206730 215918 220512 275640 323877 330768 367520 413460 431836 539795 551280 647754 661536 826920 863672 971631 1079590 1102560 1295508 1619385 1653840 1727344 1943262 2159180 2591016 3238770 3307680 3454688 3886524 4318360 4858155 5182032 6477540 7773048 8636720 9716310 10364064 12955080 15546096 17273440 19432620 25910160 31092192 38865240 51820320 77730480 155460960