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147690816 = 26371379107
BaseRepresentation
bin10001100110110…
…01010101000000
3101021220110201020
420303121111000
5300302101231
622353305440
73442231320
oct1063312500
9337813636
10147690816
1176405329
1241565280
13247a0b20
1415887280
15ce75396
hex8cd9540

147690816 has 224 divisors, whose sum is σ = 491581440. Its totient is φ = 38098944.

The previous prime is 147690811. The next prime is 147690817. The reversal of 147690816 is 618096741.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147690811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1380235 + ... + 1380341.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2147690816 is an apocalyptic number.

147690816 is a gapful number since it is divisible by the number (16) 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 147690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

147690816 is an abundant number, since it is smaller than the sum of its proper divisors (343890624).

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

147690816 is a wasteful number, since it uses less digits than its factorization.

147690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 147690816 is about 12152.8110328434. The cubic root of 147690816 is about 528.5886456112.

The spelling of 147690816 in words is "one hundred forty-seven million, six hundred ninety thousand, eight hundred sixteen".