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196980768 = 25331713411
BaseRepresentation
bin10111011110110…
…11000000100000
3111201122122211000
423233123000200
5400411341033
631313552000
74611210645
oct1357330040
9451578730
10196980768
11a1210626
1255b75600
1331a6ac8a
141c237dcc
151245ea13
hexbbdb020

196980768 has 96 divisors (see below), whose sum is σ = 608368320. Its totient is φ = 61793280.

The previous prime is 196980757. The next prime is 196980781. The reversal of 196980768 is 867089691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 7983 + ... + 21393.

It is an arithmetic number, because the mean of its divisors is an integer number (6337170).

Almost surely, 2196980768 is an apocalyptic number.

196980768 is a gapful number since it is divisible by the number (18) 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 196980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304184160).

196980768 is an abundant number, since it is smaller than the sum of its proper divisors (411387552).

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

196980768 is a wasteful number, since it uses less digits than its factorization.

196980768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 196980768 is about 14034.9837192638. The cubic root of 196980768 is about 581.8458514066.

The spelling of 196980768 in words is "one hundred ninety-six million, nine hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 13411 14688 26822 40233 53644 80466 107288 120699 160932 214576 227987 241398 321864 362097 429152 455974 482796 643728 683961 724194 911948 965592 1287456 1367922 1448388 1823896 1931184 2051883 2735844 2896776 3647792 3862368 4103766 5471688 5793552 6155649 7295584 8207532 10943376 11587104 12311298 16415064 21886752 24622596 32830128 49245192 65660256 98490384 196980768