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196007328 = 25321161871
BaseRepresentation
bin10111010111011…
…01010110100000
3111122211012111200
423223231112200
5400134213303
631241041200
74600014636
oct1353552640
9448735450
10196007328
11a0706230
1255786200
13317b9b8a
141c063356
151231b3a3
hexbaed5a0

196007328 has 72 divisors (see below), whose sum is σ = 608078016. Its totient is φ = 59395200.

The previous prime is 196007323. The next prime is 196007333. The reversal of 196007328 is 823700691.

196007328 is a `hidden beast` number, since 19 + 600 + 7 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (196007323) and next prime (196007333).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 196007292 and 196007301.

It is not an unprimeable number, because it can be changed into a prime (196007321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27768 + ... + 34103.

It is an arithmetic number, because the mean of its divisors is an integer number (8445528).

Almost surely, 2196007328 is an apocalyptic number.

196007328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

196007328 is an abundant number, since it is smaller than the sum of its proper divisors (412070688).

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

196007328 is a wasteful number, since it uses less digits than its factorization.

196007328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61898 (or 61887 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 196007328 is about 14000.2617118395. The cubic root of 196007328 is about 580.8858125148.

The spelling of 196007328 in words is "one hundred ninety-six million, seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 61871 123742 185613 247484 371226 494968 556839 680581 742452 989936 1113678 1361162 1484904 1979872 2041743 2227356 2722324 2969808 4083486 4454712 5444648 5939616 6125229 8166972 8909424 10889296 12250458 16333944 17818848 21778592 24500916 32667888 49001832 65335776 98003664 196007328