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153115920 = 2434523629
BaseRepresentation
bin10010010000001…
…01110100010000
3101200010002120000
421020011310100
5303144202140
623105450000
73536315046
oct1110056420
9350102500
10153115920
1179480291
1243340900
1325950249
141649a396
15d697a30
hex9205d10

153115920 has 100 divisors (see below), whose sum is σ = 531816780. Its totient is φ = 40829184.

The previous prime is 153115909. The next prime is 153115961. The reversal of 153115920 is 29511351.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 131882256 = 4608^2 + 11484^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5335 + ... + 18294.

Almost surely, 2153115920 is an apocalyptic number.

153115920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153115920 is an abundant number, since it is smaller than the sum of its proper divisors (378700860).

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

153115920 is a wasteful number, since it uses less digits than its factorization.

153115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23654 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 153115920 is about 12374.0017779213. The cubic root of 153115920 is about 534.9831653945.

The spelling of 153115920 in words is "one hundred fifty-three million, one hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 23629 47258 70887 94516 118145 141774 189032 212661 236290 283548 354435 378064 425322 472580 567096 637983 708870 850644 945160 1063305 1134192 1275966 1417740 1701288 1890320 1913949 2126610 2551932 2835480 3189915 3402576 3827898 4253220 5103864 5670960 6379830 7655796 8506440 9569745 10207728 12759660 15311592 17012880 19139490 25519320 30623184 38278980 51038640 76557960 153115920