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146336064 = 2637108881
BaseRepresentation
bin10001011100011…
…10100101000000
3101012100122100020
420232032211000
5244430223224
622304253440
73424556520
oct1056164500
9335318306
10146336064
117566a4a6
1241011280
13244182b4
1415613680
15cca8c79
hex8b8e940

146336064 has 56 divisors (see below), whose sum is σ = 442496448. Its totient is φ = 41809920.

The previous prime is 146336023. The next prime is 146336083. The reversal of 146336064 is 460633641.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 53097 + ... + 55784.

Almost surely, 2146336064 is an apocalyptic number.

146336064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146336064 is an abundant number, since it is smaller than the sum of its proper divisors (296160384).

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

146336064 is a wasteful number, since it uses less digits than its factorization.

146336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108903 (or 108893 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 146336064 is about 12096.9444075767. The cubic root of 146336064 is about 526.9674494740.

The spelling of 146336064 in words is "one hundred forty-six million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 108881 217762 326643 435524 653286 762167 871048 1306572 1524334 1742096 2286501 2613144 3048668 3484192 4573002 5226288 6097336 6968384 9146004 10452576 12194672 18292008 20905152 24389344 36584016 48778688 73168032 146336064