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196079904 = 253217291381
BaseRepresentation
bin10111010111111…
…11000100100000
3111122221220001200
423223333010200
5400144024104
631242401200
74600436346
oct1353770440
9448856050
10196079904
11a0755809
1255800200
1331813c17
141c081996
1512332b39
hexbaff120

196079904 has 144 divisors (see below), whose sum is σ = 611203320. Its totient is φ = 59351040.

The previous prime is 196079893. The next prime is 196079927. The reversal of 196079904 is 409970691.

It can be written as a sum of positive squares in 4 ways, for example, as 183548304 + 12531600 = 13548^2 + 3540^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 196079904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141294 + ... + 142674.

Almost surely, 2196079904 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 196079904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305601660).

196079904 is an abundant number, since it is smaller than the sum of its proper divisors (415123416).

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

196079904 is a wasteful number, since it uses less digits than its factorization.

196079904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 196079904 is about 14002.8534234991. The cubic root of 196079904 is about 580.9574988932.

The spelling of 196079904 in words is "one hundred ninety-six million, seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1381 1392 1479 1632 1972 2088 2448 2762 2784 2958 3944 4143 4176 4437 4896 5524 5916 7888 8286 8352 8874 11048 11832 12429 15776 16572 17748 22096 23477 23664 24858 33144 35496 40049 44192 46954 47328 49716 66288 70431 70992 80098 93908 99432 120147 132576 140862 141984 160196 187816 198864 211293 240294 281724 320392 360441 375632 397728 422586 480588 563448 640784 680833 720882 751264 845172 961176 1126896 1281568 1361666 1441764 1690344 1922352 2042499 2253792 2723332 2883528 3380688 3844704 4084998 5446664 5767056 6127497 6761376 8169996 10893328 11534112 12254994 16339992 21786656 24509988 32679984 49019976 65359968 98039952 196079904