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151152120 = 23325759981
BaseRepresentation
bin10010000001001…
…10010111111000
3101112102022201200
421000212113320
5302143331440
622555414200
73513525510
oct1100462770
9345368650
10151152120
1178359909
1242754360
1325413432
1416108840
15d40ac30
hex90265f8

151152120 has 96 divisors (see below), whose sum is σ = 561431520. Its totient is φ = 34548480.

The previous prime is 151152119. The next prime is 151152139. The reversal of 151152120 is 21251151.

151152120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151152093 and 151152102.

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, 27471 + ... + 32510.

It is an arithmetic number, because the mean of its divisors is an integer number (5848245).

Almost surely, 2151152120 is an apocalyptic number.

151152120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151152120 is an abundant number, since it is smaller than the sum of its proper divisors (410279400).

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

151152120 is a wasteful number, since it uses less digits than its factorization.

151152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60005 (or 59998 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151152120 is about 12294.3938443504. The cubic root of 151152120 is about 532.6861611886.

The spelling of 151152120 in words is "one hundred fifty-one million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 59981 119962 179943 239924 299905 359886 419867 479848 539829 599810 719772 839734 899715 1079658 1199620 1259601 1439544 1679468 1799430 2099335 2159316 2399240 2519202 2699145 3358936 3598860 3778803 4198670 4318632 5038404 5398290 6298005 7197720 7557606 8397340 10076808 10796580 12596010 15115212 16794680 18894015 21593160 25192020 30230424 37788030 50384040 75576060 151152120