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113025192 = 23374161269
BaseRepresentation
bin1101011110010…
…10000010101000
321212200021102020
412233022002220
5212413301232
615114304440
72541461340
oct657120250
9255607366
10113025192
1158888555
1231a28120
131a554317
1411021d20
159dc8e2c
hex6bca0a8

113025192 has 128 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 30873600.

The previous prime is 113025191. The next prime is 113025193. The reversal of 113025192 is 291520311.

It is an interprime number because it is at equal distance from previous prime (113025191) and next prime (113025193).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113025191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420034 + ... + 420302.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2113025192 is an apocalyptic number.

113025192 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 113025192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

113025192 is an abundant number, since it is smaller than the sum of its proper divisors (224453208).

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

113025192 is a wasteful number, since it uses less digits than its factorization.

113025192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 113025192 is about 10631.3306787062. The cubic root of 113025192 is about 483.4947371638.

It can be divided in two parts, 11 and 3025192, that added together give a palindrome (3025203).

The spelling of 113025192 in words is "one hundred thirteen million, twenty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 61 82 84 122 123 164 168 183 244 246 269 287 328 366 427 488 492 538 574 732 807 854 861 984 1076 1148 1281 1464 1614 1708 1722 1883 2152 2296 2501 2562 3228 3416 3444 3766 5002 5124 5649 6456 6888 7503 7532 10004 10248 11029 11298 15006 15064 16409 17507 20008 22058 22596 30012 32818 33087 35014 44116 45192 49227 52521 60024 65636 66174 70028 77203 88232 98454 105042 114863 131272 132348 140056 154406 196908 210084 229726 231609 264696 308812 344589 393816 420168 459452 463218 617624 672769 689178 918904 926436 1345538 1378356 1852872 2018307 2691076 2756712 4036614 4709383 5382152 8073228 9418766 14128149 16146456 18837532 28256298 37675064 56512596 113025192