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196114176 = 2833171669
BaseRepresentation
bin10111011000001…
…11011100000000
3111200000122002000
423230013130000
5400201123201
631243224000
74600641306
oct1354073400
9450018060
10196114176
11a0779535
1255818000
13318266bb
141c090276
151233cd86
hexbb07700

196114176 has 144 divisors (see below), whose sum is σ = 614426400. Its totient is φ = 61489152.

The previous prime is 196114147. The next prime is 196114183. The reversal of 196114176 is 671411691.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 196114176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116670 + ... + 118338.

It is an arithmetic number, because the mean of its divisors is an integer number (4266850).

Almost surely, 2196114176 is an apocalyptic number.

196114176 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 196114176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307213200).

196114176 is an abundant number, since it is smaller than the sum of its proper divisors (418312224).

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

196114176 is a wasteful number, since it uses less digits than its factorization.

196114176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1691 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 196114176 is about 14004.0771206103. The cubic root of 196114176 is about 580.9913446453.

The spelling of 196114176 in words is "one hundred ninety-six million, one hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1669 1728 1836 2176 2304 2448 3264 3338 3456 3672 4352 4896 5007 6528 6676 6912 7344 9792 10014 13056 13352 14688 15021 19584 20028 26704 28373 29376 30042 39168 40056 45063 53408 56746 58752 60084 80112 85119 90126 106816 113492 117504 120168 160224 170238 180252 213632 226984 240336 255357 320448 340476 360504 427264 453968 480672 510714 640896 680952 721008 766071 907936 961344 1021428 1281792 1361904 1442016 1532142 1815872 1922688 2042856 2723808 2884032 3064284 3631744 3845376 4085712 5447616 5768064 6128568 7263488 8171424 10895232 11536128 12257136 16342848 21790464 24514272 32685696 49028544 65371392 98057088 196114176