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147412440 = 233357173137
BaseRepresentation
bin10001100100101…
…01010111011000
3101021101022212000
420302111113120
5300214144230
622343321000
73436661610
oct1062252730
9337338760
10147412440
117623516a
1241450160
13247041c6
1415813a40
15ce1cb60
hex8c955d8

147412440 has 512 divisors, whose sum is σ = 630374400. Its totient is φ = 29859840.

The previous prime is 147412427. The next prime is 147412453. The reversal of 147412440 is 44214741.

It is an interprime number because it is at equal distance from previous prime (147412427) and next prime (147412453).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 3984102 + ... + 3984138.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2147412440 is an apocalyptic number.

147412440 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 147412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315187200).

147412440 is an abundant number, since it is smaller than the sum of its proper divisors (482961960).

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

147412440 is a wasteful number, since it uses less digits than its factorization.

147412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 147412440 is about 12141.3524782044. The cubic root of 147412440 is about 528.2563321479.

The spelling of 147412440 in words is "one hundred forty-seven million, four hundred twelve thousand, four hundred forty".