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679975002 = 232719439647
BaseRepresentation
bin101000100001111…
…001100001011010
31202101111022100100
4220201321201122
52343033200002
6151250120230
722564456260
oct5041714132
91671438310
10679975002
11319912313
1216b880076
13aab4a795
1466444430
153ea6911c
hex2887985a

679975002 has 96 divisors (see below), whose sum is σ = 1779148800. Its totient is φ = 183350304.

The previous prime is 679974989. The next prime is 679975057. The reversal of 679975002 is 200579976.

It is a nialpdrome in base 14.

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 47 ways as a sum of consecutive naturals, for example, 1050643 + ... + 1051289.

It is an arithmetic number, because the mean of its divisors is an integer number (18532800).

Almost surely, 2679975002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679975002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889574400).

679975002 is an abundant number, since it is smaller than the sum of its proper divisors (1099173798).

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

679975002 is a wasteful number, since it uses less digits than its factorization.

679975002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 679975002 is about 26076.3303016356. The cubic root of 679975002 is about 879.3551586184.

The spelling of 679975002 in words is "six hundred seventy-nine million, nine hundred seventy-five thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 439 647 798 878 1197 1294 1317 1941 2394 2634 3073 3882 3951 4529 5823 6146 7902 8341 9058 9219 11646 12293 13587 16682 18438 24586 25023 27174 27657 36879 40761 50046 55314 58387 73758 75069 81522 86051 110637 116774 150138 172102 175161 221274 258153 284033 350322 516306 525483 568066 774459 852099 1050966 1548918 1704198 1988231 2556297 3976462 5112594 5396627 5964693 10793254 11929386 16189881 17894079 32379762 35788158 37776389 48569643 75552778 97139286 113329167 226658334 339987501 679975002