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196870752 = 25321352583
BaseRepresentation
bin10111011110000…
…00001001100000
3111201110001220100
423233000021200
5400344331002
631311342400
74610242131
oct1357001140
9451401810
10196870752
11a1145a01
1255b21a00
1331a2cb90
141c209c88
151243c11c
hexbbc0260

196870752 has 72 divisors (see below), whose sum is σ = 602928144. Its totient is φ = 60574464.

The previous prime is 196870721. The next prime is 196870757. The reversal of 196870752 is 257078691.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 196870698 and 196870707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196870757) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22548 + ... + 30035.

It is an arithmetic number, because the mean of its divisors is an integer number (8374002).

Almost surely, 2196870752 is an apocalyptic number.

196870752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

196870752 is an abundant number, since it is smaller than the sum of its proper divisors (406057392).

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

196870752 is a wasteful number, since it uses less digits than its factorization.

196870752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52612 (or 52601 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 196870752 is about 14031.0638228183. The cubic root of 196870752 is about 581.7375087247.

The spelling of 196870752 in words is "one hundred ninety-six million, eight hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 52583 105166 157749 210332 315498 420664 473247 630996 683579 841328 946494 1261992 1367158 1682656 1892988 2050737 2523984 2734316 3785976 4101474 5047968 5468632 6152211 7571952 8202948 10937264 12304422 15143904 16405896 21874528 24608844 32811792 49217688 65623584 98435376 196870752