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113495328 = 253229107127
BaseRepresentation
bin1101100001111…
…00110100100000
321220120011022200
412300330310200
5213023322303
615132333200
72545460112
oct660746440
9256504280
10113495328
11590797a1
1232014200
131a68a2cb
14111053b2
159e6d3a3
hex6c3cd20

113495328 has 144 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 35900928.

The previous prime is 113495311. The next prime is 113495329. The reversal of 113495328 is 823594311.

113495328 is a `hidden beast` number, since 113 + 4 + 9 + 532 + 8 = 666.

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 junction number, because it is equal to n+sod(n) for n = 113495292 and 113495301.

It is not an unprimeable number, because it can be changed into a prime (113495329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893601 + ... + 893727.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2113495328 is an apocalyptic number.

113495328 is a gapful number since it is divisible by the number (18) 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 113495328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

113495328 is an abundant number, since it is smaller than the sum of its proper divisors (226160352).

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

113495328 is a wasteful number, since it uses less digits than its factorization.

113495328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 113495328 is about 10653.4186062503. The cubic root of 113495328 is about 484.1641862661.

The spelling of 113495328 in words is "one hundred thirteen million, four hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 107 116 127 144 174 214 232 254 261 288 321 348 381 428 464 508 522 642 696 762 856 928 963 1016 1044 1143 1284 1392 1524 1712 1926 2032 2088 2286 2568 2784 3048 3103 3424 3683 3852 4064 4176 4572 5136 6096 6206 7366 7704 8352 9144 9309 10272 11049 12192 12412 13589 14732 15408 18288 18618 22098 24824 27178 27927 29464 30816 33147 36576 37236 40767 44196 49648 54356 55854 58928 66294 74472 81534 88392 99296 108712 111708 117856 122301 132588 148944 163068 176784 217424 223416 244602 265176 297888 326136 353568 394081 434848 446832 489204 530352 652272 788162 893664 978408 1060704 1182243 1304544 1576324 1956816 2364486 3152648 3546729 3913632 4728972 6305296 7093458 9457944 12610592 14186916 18915888 28373832 37831776 56747664 113495328