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2157374520 = 2333571392053
BaseRepresentation
bin1000000010010110…
…1110110000111000
312120100110222111000
42000211232300320
513404241441040
6554024005000
7104314244430
oct20045566070
95510428430
102157374520
11a07866454
12502600760
13284c58a92
141667432c0
15c95ec130
hex8096ec38

2157374520 has 256 divisors, whose sum is σ = 8281728000. Its totient is φ = 489328128.

The previous prime is 2157374519. The next prime is 2157374533. The reversal of 2157374520 is 254737512.

2157374520 is a `hidden beast` number, since 21 + 573 + 7 + 45 + 20 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 1049814 + ... + 1051866.

It is an arithmetic number, because the mean of its divisors is an integer number (32350500).

Almost surely, 22157374520 is an apocalyptic number.

2157374520 is a gapful number since it is divisible by the number (20) 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 2157374520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140864000).

2157374520 is an abundant number, since it is smaller than the sum of its proper divisors (6124353480).

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

2157374520 is a wasteful number, since it uses less digits than its factorization.

2157374520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2157374520 is about 46447.5458985725. The cubic root of 2157374520 is about 1292.1368585993.

The spelling of 2157374520 in words is "two billion, one hundred fifty-seven million, three hundred seventy-four thousand, five hundred twenty".