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146327664 = 24371922921
BaseRepresentation
bin10001011100011…
…00100001110000
3101012100012211010
420232030201300
5244424441124
622304150520
73424523160
oct1056144160
9335305733
10146327664
117566415a
1241008440
1324414522
14156105a0
15cca6529
hex8b8c870

146327664 has 80 divisors (see below), whose sum is σ = 454772480. Its totient is φ = 39605760.

The previous prime is 146327639. The next prime is 146327693. The reversal of 146327664 is 466723641.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 5077 + ... + 17844.

It is an arithmetic number, because the mean of its divisors is an integer number (5684656).

Almost surely, 2146327664 is an apocalyptic number.

146327664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146327664 is an abundant number, since it is smaller than the sum of its proper divisors (308444816).

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

146327664 is a wasteful number, since it uses less digits than its factorization.

146327664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22958 (or 22952 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 146327664 is about 12096.5972074795. The cubic root of 146327664 is about 526.9573662652.

The spelling of 146327664 in words is "one hundred forty-six million, three hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 22921 45842 68763 91684 137526 160447 183368 275052 320894 366736 435499 481341 550104 641788 870998 962682 1100208 1283576 1306497 1741996 1925364 2567152 2612994 3048493 3483992 3850728 5225988 6096986 6967984 7701456 9145479 10451976 12193972 18290958 20903952 24387944 36581916 48775888 73163832 146327664