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152114112 = 26359781
BaseRepresentation
bin10010001000100…
…01001111000000
3101121020012100000
421010101033000
5302420122422
623032200000
73524643243
oct1104211700
9347205300
10152114112
1178956647
1242b39000
132568c267
14162b925a
15d54acac
hex91113c0

152114112 has 84 divisors (see below), whose sum is σ = 452202296. Its totient is φ = 50699520.

The previous prime is 152114107. The next prime is 152114129. The reversal of 152114112 is 211411251.

152114112 is a `hidden beast` number, since 1 + 521 + 141 + 1 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 10662 + ... + 20442.

Almost surely, 2152114112 is an apocalyptic number.

152114112 is a gapful number since it is divisible by the number (12) 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 152114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226101148).

152114112 is an abundant number, since it is smaller than the sum of its proper divisors (300088184).

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

152114112 is an frugal number, since it uses more digits than its factorization.

152114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9808 (or 9786 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 152114112 is about 12333.4549903910. The cubic root of 152114112 is about 533.8138474995.

Adding to 152114112 its reverse (211411251), we get a palindrome (363525363).

The spelling of 152114112 in words is "one hundred fifty-two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 9781 15552 19562 29343 39124 58686 78248 88029 117372 156496 176058 234744 264087 312992 352116 469488 528174 625984 704232 792261 938976 1056348 1408464 1584522 1877952 2112696 2376783 2816928 3169044 4225392 4753566 5633856 6338088 8450784 9507132 12676176 16901568 19014264 25352352 38028528 50704704 76057056 152114112