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196096264 = 237131914177
BaseRepresentation
bin10111011000000…
…11000100001000
3111122222201111121
423230003010020
5400200040024
631243005024
74600535140
oct1354030410
9448881447
10196096264
11a0767031
1255809774
133181b4c0
141c087920
15123378e4
hexbb03108

196096264 has 64 divisors (see below), whose sum is σ = 476380800. Its totient is φ = 73488384.

The previous prime is 196096261. The next prime is 196096319. The reversal of 196096264 is 462690691.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 196096264.

It is not an unprimeable number, because it can be changed into a prime (196096261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744 + ... + 20920.

It is an arithmetic number, because the mean of its divisors is an integer number (7443450).

Almost surely, 2196096264 is an apocalyptic number.

196096264 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 196096264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238190400).

196096264 is an abundant number, since it is smaller than the sum of its proper divisors (280284536).

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

196096264 is a wasteful number, since it uses less digits than its factorization.

196096264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 14218 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 196096264 is about 14003.4375779663. The cubic root of 196096264 is about 580.9736559124.

The spelling of 196096264 in words is "one hundred ninety-six million, ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 6916 13832 14177 28354 56708 99239 113416 184301 198478 269363 368602 396956 538726 737204 793912 1077452 1290107 1474408 1885541 2154904 2580214 3501719 3771082 5160428 7003438 7542164 10320856 14006876 15084328 24512033 28013752 49024066 98048132 196096264