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113098144 = 25172967107
BaseRepresentation
bin1101011110110…
…11110110100000
321212210222111011
412233123312200
5212423120034
615120030304
72542214125
oct657336640
9255728434
10113098144
1158928345
1231a62394
131a57b5a3
141104074c
159de0864
hex6bdbda0

113098144 has 96 divisors (see below), whose sum is σ = 249842880. Its totient is φ = 50147328.

The previous prime is 113098123. The next prime is 113098151. The reversal of 113098144 is 441890311.

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, 1056939 + ... + 1057045.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2113098144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124921440).

113098144 is an abundant number, since it is smaller than the sum of its proper divisors (136744736).

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

113098144 is a wasteful number, since it uses less digits than its factorization.

113098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 113098144 is about 10634.7611162640. The cubic root of 113098144 is about 483.5987385268.

The spelling of 113098144 in words is "one hundred thirteen million, ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 67 68 107 116 134 136 214 232 268 272 428 464 493 536 544 856 928 986 1072 1139 1712 1819 1943 1972 2144 2278 3103 3424 3638 3886 3944 4556 6206 7169 7276 7772 7888 9112 12412 14338 14552 15544 15776 18224 24824 28676 29104 31088 33031 36448 49648 52751 57352 58208 62176 66062 99296 105502 114704 121873 132124 207901 211004 229408 243746 264248 415802 422008 487492 528496 831604 844016 974984 1056992 1663208 1688032 1949968 3326416 3534317 3899936 6652832 7068634 14137268 28274536 56549072 113098144