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152112060 = 223351012789
BaseRepresentation
bin10010001000100…
…00101110111100
3101121020002112000
421010100232330
5302420041220
623032142300
73524634252
oct1104205674
9347202460
10152112060
1178955051
1242b37990
132568b349
14162b85d2
15d54a390
hex9110bbc

152112060 has 96 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 40147200.

The previous prime is 152112049. The next prime is 152112097. The reversal of 152112060 is 60211251.

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

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, 53146 + ... + 55934.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2152112060 is an apocalyptic number.

152112060 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 152112060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

152112060 is an abundant number, since it is smaller than the sum of its proper divisors (325982340).

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

152112060 is a wasteful number, since it uses less digits than its factorization.

152112060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152112060 is about 12333.3718017418. The cubic root of 152112060 is about 533.8114471285.

It can be divided in two parts, 15211 and 2060, that added together give a palindrome (17271).

The spelling of 152112060 in words is "one hundred fifty-two million, one hundred twelve thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 2789 3030 3636 4545 5454 5578 6060 8367 9090 10908 11156 13635 13945 16734 18180 25101 27270 27890 33468 41835 50202 54540 55780 75303 83670 100404 125505 150606 167340 251010 281689 301212 376515 502020 563378 753030 845067 1126756 1408445 1506060 1690134 2535201 2816890 3380268 4225335 5070402 5633780 7605603 8450670 10140804 12676005 15211206 16901340 25352010 30422412 38028015 50704020 76056030 152112060