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196960064 = 2674110723
BaseRepresentation
bin10111011110101…
…01111101000000
3111201121121102012
423233111331000
5400410210224
631313312052
74611063410
oct1357257500
9451547365
10196960064
11a11a7014
1255b65628
1331a61722
141c230640
151245880e
hexbbd5f40

196960064 has 56 divisors (see below), whose sum is σ = 457614528. Its totient is φ = 82344960.

The previous prime is 196960013. The next prime is 196960087. The reversal of 196960064 is 460069691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13007 + ... + 23729.

It is an arithmetic number, because the mean of its divisors is an integer number (8171688).

Almost surely, 2196960064 is an apocalyptic number.

196960064 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 196960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228807264).

196960064 is an abundant number, since it is smaller than the sum of its proper divisors (260654464).

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

196960064 is a wasteful number, since it uses less digits than its factorization.

196960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10783 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 196960064 is about 14034.2461144160. The cubic root of 196960064 is about 581.8254653918.

The spelling of 196960064 in words is "one hundred ninety-six million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 10723 18368 21446 42892 75061 85784 150122 171568 300244 343136 439643 600488 686272 879286 1200976 1758572 2401952 3077501 3517144 4803904 6155002 7034288 12310004 14068576 24620008 28137152 49240016 98480032 196960064