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146152116 = 223211369071
BaseRepresentation
bin10001011011000…
…01101010110100
3101012000022000100
420231201222310
5244403331431
622300314100
73423162315
oct1055415264
9335008010
10146152116
1175554280
1240b42930
1324382656
14155a660c
15cc6e4e6
hex8b61ab4

146152116 has 36 divisors (see below), whose sum is σ = 403026624. Its totient is φ = 44288400.

The previous prime is 146152087. The next prime is 146152117. The reversal of 146152116 is 611251641.

146152116 is a `hidden beast` number, since 14 + 615 + 21 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1461521162 = 42720882022554912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146152116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146152117) 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 11 ways as a sum of consecutive naturals, for example, 184140 + ... + 184931.

It is an arithmetic number, because the mean of its divisors is an integer number (11195184).

Almost surely, 2146152116 is an apocalyptic number.

It is an amenable number.

146152116 is an abundant number, since it is smaller than the sum of its proper divisors (256874508).

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

146152116 is a wasteful number, since it uses less digits than its factorization.

146152116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369092 (or 369087 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 146152116 is about 12089.3389397436. The cubic root of 146152116 is about 526.7465532472.

The spelling of 146152116 in words is "one hundred forty-six million, one hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 369071 738142 1107213 1476284 2214426 3321639 4059781 4428852 6643278 8119562 12179343 13286556 16239124 24358686 36538029 48717372 73076058 146152116