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2157719304 = 2331342116427
BaseRepresentation
bin1000000010011100…
…0010111100001000
312120101010111102210
42000213002330020
513404334004204
6554035225120
7104320211556
oct20047027410
95511114383
102157719304
11a07a814a4
125027481a0
132850499b0
141667d2bd6
15c9669389
hex809c2f08

2157719304 has 64 divisors (see below), whose sum is σ = 5823397440. Its totient is φ = 662296320.

The previous prime is 2157719299. The next prime is 2157719321. The reversal of 2157719304 is 4039177512.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 123139 + ... + 139565.

It is an arithmetic number, because the mean of its divisors is an integer number (90990585).

Almost surely, 22157719304 is an apocalyptic number.

2157719304 is a gapful number since it is divisible by the number (24) 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 2157719304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911698720).

2157719304 is an abundant number, since it is smaller than the sum of its proper divisors (3665678136).

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

2157719304 is a wasteful number, since it uses less digits than its factorization.

2157719304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 2157719304 is about 46451.2572919184. The cubic root of 2157719304 is about 1292.2056898538.

The spelling of 2157719304 in words is "two billion, one hundred fifty-seven million, seven hundred nineteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 421 842 1263 1684 2526 3368 5052 5473 10104 10946 16419 16427 21892 32838 32854 43784 49281 65676 65708 98562 131352 131416 197124 213551 394248 427102 640653 854204 1281306 1708408 2562612 5125224 6915767 13831534 20747301 27663068 41494602 55326136 82989204 89904971 165978408 179809942 269714913 359619884 539429826 719239768 1078859652 2157719304