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147318840 = 2332529103137
BaseRepresentation
bin10001100011111…
…10100000111000
3101021012120110100
420301332200320
5300203200330
622341315400
73436121664
oct1061764070
9337176410
10147318840
1176180909
1241405b60
13246a0716
14157cb8a4
15ce00060
hex8c7e838

147318840 has 192 divisors, whose sum is σ = 503755200. Its totient is φ = 37287936.

The previous prime is 147318839. The next prime is 147318893. The reversal of 147318840 is 48813741.

147318840 is a `hidden beast` number, since 1 + 473 + 188 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147318795 and 147318804.

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 47 ways as a sum of consecutive naturals, for example, 1075252 + ... + 1075388.

It is an arithmetic number, because the mean of its divisors is an integer number (2623725).

Almost surely, 2147318840 is an apocalyptic number.

147318840 is a gapful number since it is divisible by the number (10) 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 147318840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251877600).

147318840 is an abundant number, since it is smaller than the sum of its proper divisors (356436360).

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

147318840 is a wasteful number, since it uses less digits than its factorization.

147318840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 147318840 is about 12137.4972708545. The cubic root of 147318840 is about 528.1445024601.

The spelling of 147318840 in words is "one hundred forty-seven million, three hundred eighteen thousand, eight hundred forty".