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113208192 = 273461179
BaseRepresentation
bin1101011111101…
…10101110000000
321220000120110000
412233312232000
5212440130232
615122240000
72543153016
oct657665600
9256016400
10113208192
11589a2a99
1231ab6000
131a5b96c6
141106c8b6
159e1327c
hex6bf6b80

113208192 has 160 divisors (see below), whose sum is σ = 344341800. Its totient is φ = 36910080.

The previous prime is 113208167. The next prime is 113208223. The reversal of 113208192 is 291802311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632359 + ... + 632537.

Almost surely, 2113208192 is an apocalyptic number.

113208192 is a gapful number since it is divisible by the number (12) 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 113208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172170900).

113208192 is an abundant number, since it is smaller than the sum of its proper divisors (231133608).

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

113208192 is an equidigital number, since it uses as much as digits as its factorization.

113208192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113208192 is about 10639.9338343807. The cubic root of 113208192 is about 483.7555398681.

The spelling of 113208192 in words is "one hundred thirteen million, two hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 179 183 192 216 244 288 324 358 366 384 432 488 537 549 576 648 716 732 864 976 1074 1098 1152 1296 1432 1464 1611 1647 1728 1952 2148 2196 2592 2864 2928 3222 3294 3456 3904 4296 4392 4833 4941 5184 5728 5856 6444 6588 7808 8592 8784 9666 9882 10368 10919 11456 11712 12888 13176 14499 17184 17568 19332 19764 21838 22912 23424 25776 26352 28998 32757 34368 35136 38664 39528 43676 51552 52704 57996 65514 68736 70272 77328 79056 87352 98271 103104 105408 115992 131028 154656 158112 174704 196542 206208 210816 231984 262056 294813 309312 316224 349408 393084 463968 524112 589626 618624 632448 698816 786168 884439 927936 1048224 1179252 1397632 1572336 1768878 1855872 2096448 2358504 3144672 3537756 4192896 4717008 6289344 7075512 9434016 12578688 14151024 18868032 28302048 37736064 56604096 113208192