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146414064 = 24317179429
BaseRepresentation
bin10001011101000…
…01100111110000
3101012111121100010
420232201213300
5244440222224
622310054520
73425333106
oct1056414760
9335447303
10146414064
1175713065
124104a440
1324444954
1415633c76
15ccc1e29
hex8ba19f0

146414064 has 40 divisors (see below), whose sum is σ = 400487760. Its totient is φ = 45933568.

The previous prime is 146414053. The next prime is 146414083. The reversal of 146414064 is 460414641.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88899 + ... + 90530.

It is an arithmetic number, because the mean of its divisors is an integer number (10012194).

Almost surely, 2146414064 is an apocalyptic number.

It is an amenable number.

146414064 is an abundant number, since it is smaller than the sum of its proper divisors (254073696).

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

146414064 is a wasteful number, since it uses less digits than its factorization.

146414064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179457 (or 179451 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146414064 is about 12100.1679327190. The cubic root of 146414064 is about 527.0610608484.

The spelling of 146414064 in words is "one hundred forty-six million, four hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 179429 358858 538287 717716 1076574 1435432 2153148 2870864 3050293 4306296 6100586 8612592 9150879 12201172 18301758 24402344 36603516 48804688 73207032 146414064