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152111064 = 23376114843
BaseRepresentation
bin10010001000100…
…00011111011000
3101121020001011010
421010100133120
5302420023224
623032133520
73524631330
oct1104203730
9347201133
10152111064
1178954326
1242b372a0
132568aa61
14162b80c0
15d549e29
hex91107d8

152111064 has 64 divisors (see below), whose sum is σ = 441757440. Its totient is φ = 42744960.

The previous prime is 152111051. The next prime is 152111077. The reversal of 152111064 is 460111251.

It is an interprime number because it is at equal distance from previous prime (152111051) and next prime (152111077).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 152111064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (6902460).

Almost surely, 2152111064 is an apocalyptic number.

152111064 is a gapful number since it is divisible by the number (14) 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 152111064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220878720).

152111064 is an abundant number, since it is smaller than the sum of its proper divisors (289646376).

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

152111064 is a wasteful number, since it uses less digits than its factorization.

152111064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920 (or 14916 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 152111064 is about 12333.3314234233. The cubic root of 152111064 is about 533.8102820283.

The spelling of 152111064 in words is "one hundred fifty-two million, one hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 14843 29686 44529 59372 89058 103901 118744 178116 207802 311703 356232 415604 623406 831208 905423 1246812 1810846 2493624 2716269 3621692 5432538 6337961 7243384 10865076 12675922 19013883 21730152 25351844 38027766 50703688 76055532 152111064