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152011512 = 23336183139
BaseRepresentation
bin10010000111110…
…00001011111000
3101121000222121000
421003320023320
5302403332022
623030045000
73524035152
oct1103701370
9347028530
10152011512
1178896554
1242aa9760
1325654653
141628dad2
15d52a6ac
hex90f82f8

152011512 has 128 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 48885120.

The previous prime is 152011511. The next prime is 152011529. The reversal of 152011512 is 215110251.

152011512 is a `hidden beast` number, since 152 + 0 + 1 + 1 + 512 = 666.

It is a super-2 number, since 2×1520115122 = 46214999561052288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152011511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1093539 + ... + 1093677.

It is an arithmetic number, because the mean of its divisors is an integer number (3417750).

Almost surely, 2152011512 is an apocalyptic number.

152011512 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 152011512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

152011512 is an abundant number, since it is smaller than the sum of its proper divisors (285460488).

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

152011512 is a wasteful number, since it uses less digits than its factorization.

152011512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

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

The square root of 152011512 is about 12329.2948703484. The cubic root of 152011512 is about 533.6938024919.

Adding to 152011512 its reverse (215110251), we get a palindrome (367121763).

The spelling of 152011512 in words is "one hundred fifty-two million, eleven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 83 108 122 139 166 183 216 244 249 278 332 366 417 488 498 549 556 664 732 747 834 996 1098 1112 1251 1464 1494 1647 1668 1992 2196 2241 2502 2988 3294 3336 3753 4392 4482 5004 5063 5976 6588 7506 8479 8964 10008 10126 11537 13176 15012 15189 16958 17928 20252 23074 25437 30024 30378 33916 34611 40504 45567 46148 50874 60756 67832 69222 76311 91134 92296 101748 103833 121512 136701 138444 152622 182268 203496 207666 228933 273402 276888 305244 311499 364536 415332 457866 546804 610488 622998 703757 830664 915732 1093608 1245996 1407514 1831464 2111271 2491992 2815028 4222542 5630056 6333813 8445084 12667626 16890168 19001439 25335252 38002878 50670504 76005756 152011512