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155956640 = 2557178191
BaseRepresentation
bin10010100101110…
…11010110100000
3101212110102021212
421102323112200
5304411103030
623250405252
73602416040
oct1122732640
9355412255
10155956640
1180040594
1244290828
1326406248
14169d9720
15da59595
hex94bb5a0

155956640 has 96 divisors (see below), whose sum is σ = 445906944. Its totient is φ = 50319360.

The previous prime is 155956631. The next prime is 155956663. The reversal of 155956640 is 46659551.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 14945 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (4644864).

Almost surely, 2155956640 is an apocalyptic number.

155956640 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 155956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222953472).

155956640 is an abundant number, since it is smaller than the sum of its proper divisors (289950304).

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

155956640 is a wasteful number, since it uses less digits than its factorization.

155956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 155956640 is about 12488.2600869777. The cubic root of 155956640 is about 538.2713813523.

The spelling of 155956640 in words is "one hundred fifty-five million, nine hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 8191 9520 16382 19040 32764 40955 57337 65528 81910 114674 131056 139247 163820 229348 262112 278494 286685 327640 458696 556988 573370 655280 696235 917392 974729 1113976 1146740 1310560 1392470 1834784 1949458 2227952 2293480 2784940 3898916 4455904 4586960 4873645 5569880 7797832 9173920 9747290 11139760 15595664 19494580 22279520 31191328 38989160 77978320 155956640