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2180379792 = 243312396131
BaseRepresentation
bin1000000111110101…
…1111010010010000
312121221202202210010
42001331133102100
513431134123132
61000205034520
7105013631253
oct20175372220
95557682703
102180379792
11a19849678
1250a255a40
13289952076
1416981109a
15cb6436cc
hex81f5f490

2180379792 has 80 divisors (see below), whose sum is σ = 5839626240. Its totient is φ = 700291200.

The previous prime is 2180379787. The next prime is 2180379793. The reversal of 2180379792 is 2979730812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2180379793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352567 + ... + 358697.

It is an arithmetic number, because the mean of its divisors is an integer number (72995328).

Almost surely, 22180379792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180379792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919813120).

2180379792 is an abundant number, since it is smaller than the sum of its proper divisors (3659246448).

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

2180379792 is a wasteful number, since it uses less digits than its factorization.

2180379792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 2180379792 is about 46694.5370680554. The cubic root of 2180379792 is about 1296.7135512008.

The spelling of 2180379792 in words is "two billion, one hundred eighty million, three hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 239 248 372 478 496 717 744 956 1434 1488 1912 2868 3824 5736 6131 7409 11472 12262 14818 18393 22227 24524 29636 36786 44454 49048 59272 73572 88908 98096 118544 147144 177816 190061 294288 355632 380122 570183 760244 1140366 1465309 1520488 2280732 2930618 3040976 4395927 4561464 5861236 8791854 9122928 11722472 17583708 23444944 35167416 45424579 70334832 90849158 136273737 181698316 272547474 363396632 545094948 726793264 1090189896 2180379792