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196325376 = 2123131229
BaseRepresentation
bin10111011001110…
…11000000000000
3111200102100210020
423230323000000
5400224403001
631251533440
74602511122
oct1354730000
9450370706
10196325376
11a0903185
12558ba280
133189b880
141c107212
1512380736
hexbb3b000

196325376 has 104 divisors (see below), whose sum is σ = 564196080. Its totient is φ = 60358656.

The previous prime is 196325369. The next prime is 196325429. The reversal of 196325376 is 673523691.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159130 + ... + 160358.

Almost surely, 2196325376 is an apocalyptic number.

196325376 is a gapful number since it is divisible by the number (16) 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 196325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282098040).

196325376 is an abundant number, since it is smaller than the sum of its proper divisors (367870704).

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

196325376 is a wasteful number, since it uses less digits than its factorization.

196325376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1247 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 196325376 is about 14011.6157526532. The cubic root of 196325376 is about 581.1998309341.

The spelling of 196325376 in words is "one hundred ninety-six million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1229 1248 1536 1664 2048 2458 2496 3072 3328 3687 4096 4916 4992 6144 6656 7374 9832 9984 12288 13312 14748 15977 19664 19968 26624 29496 31954 39328 39936 47931 53248 58992 63908 78656 79872 95862 117984 127816 157312 159744 191724 235968 255632 314624 383448 471936 511264 629248 766896 943872 1022528 1258496 1533792 1887744 2045056 2516992 3067584 3775488 4090112 5033984 6135168 7550976 8180224 12270336 15101952 16360448 24540672 32720896 49081344 65441792 98162688 196325376