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2390120964 = 22327111018537
BaseRepresentation
bin1000111001110110…
…0101101000000100
320011120102201120200
42032131211220010
514343332332324
61033100330500
7113141456460
oct21635455004
96146381520
102390120964
111017185290
12568543a30
132c123a17a
1418960b4a0
15dec73ec9
hex8e765a04

2390120964 has 144 divisors (see below), whose sum is σ = 7607972736. Its totient is φ = 614592000.

The previous prime is 2390120911. The next prime is 2390121007. The reversal of 2390120964 is 4690210932.

2390120964 is a `hidden beast` number, since 2 + 390 + 1 + 209 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275704 + ... + 284240.

It is an arithmetic number, because the mean of its divisors is an integer number (52833144).

Almost surely, 22390120964 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 2390120964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803986368).

2390120964 is an abundant number, since it is smaller than the sum of its proper divisors (5217851772).

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

2390120964 is a wasteful number, since it uses less digits than its factorization.

2390120964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2390120964 is about 48888.8633944378. The cubic root of 2390120964 is about 1337.0263315186.

The spelling of 2390120964 in words is "two billion, three hundred ninety million, one hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 101 126 132 154 198 202 231 252 303 308 396 404 462 606 693 707 909 924 1111 1212 1386 1414 1818 2121 2222 2772 2828 3333 3636 4242 4444 6363 6666 7777 8484 8537 9999 12726 13332 15554 17074 19998 23331 25452 25611 31108 34148 39996 46662 51222 59759 69993 76833 93324 93907 102444 119518 139986 153666 179277 187814 239036 279972 281721 307332 358554 375628 537831 563442 657349 717108 845163 862237 1075662 1126884 1314698 1690326 1724474 1972047 2151324 2586711 2629396 3380652 3448948 3944094 5173422 5916141 6035659 7760133 7888188 9484607 10346844 11832282 12071318 15520266 18106977 18969214 23664564 24142636 28453821 31040532 36213954 37938428 54320931 56907642 66392249 72427908 85361463 108641862 113815284 132784498 170722926 199176747 217283724 265568996 341445852 398353494 597530241 796706988 1195060482 2390120964