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190704864 = 2537271571
BaseRepresentation
bin10110101110111…
…10110011100000
3111021211210220010
423113132303200
5342310023424
630531244520
74503651600
oct1327366340
9437753803
10190704864
1198714429
1253a49740
133068151c
141b482c00
1511b20229
hexb5dece0

190704864 has 144 divisors (see below), whose sum is σ = 591566976. Its totient is φ = 53625600.

The previous prime is 190704863. The next prime is 190704869. The reversal of 190704864 is 468407091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190704863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333699 + ... + 334269.

It is an arithmetic number, because the mean of its divisors is an integer number (4108104).

Almost surely, 2190704864 is an apocalyptic number.

190704864 is a gapful number since it is divisible by the number (14) 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 190704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

190704864 is an abundant number, since it is smaller than the sum of its proper divisors (400862112).

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

190704864 is a wasteful number, since it uses less digits than its factorization.

190704864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 190704864 is about 13809.5931873463. The cubic root of 190704864 is about 575.5997412172.

The spelling of 190704864 in words is "one hundred ninety million, seven hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 71 84 96 98 112 142 147 168 196 213 224 284 294 336 392 426 497 568 571 588 672 784 852 994 1136 1142 1176 1491 1568 1704 1713 1988 2272 2284 2352 2982 3408 3426 3479 3976 3997 4568 4704 5964 6816 6852 6958 7952 7994 9136 10437 11928 11991 13704 13916 15904 15988 18272 20874 23856 23982 27408 27832 27979 31976 40541 41748 47712 47964 54816 55664 55958 63952 81082 83496 83937 95928 111328 111916 121623 127904 162164 166992 167874 191856 223832 243246 283787 324328 333984 335748 383712 447664 486492 567574 648656 671496 851361 895328 972984 1135148 1297312 1342992 1702722 1945968 1986509 2270296 2685984 3405444 3891936 3973018 4540592 5959527 6810888 7946036 9081184 11919054 13621776 15892072 23838108 27243552 31784144 47676216 63568288 95352432 190704864