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113898096 = 243313171193
BaseRepresentation
bin1101100100111…
…11001001110000
321221022121211000
412302133021300
5213124214341
615145122000
72552055264
oct662371160
9257277730
10113898096
1159324364
1232189300
131a79b730
14111ac0a4
159eec8b6
hex6c9f270

113898096 has 160 divisors (see below), whose sum is σ = 373101120. Its totient is φ = 32956416.

The previous prime is 113897983. The next prime is 113898131. The reversal of 113898096 is 690898311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94876 + ... + 96068.

It is an arithmetic number, because the mean of its divisors is an integer number (2331882).

Almost surely, 2113898096 is an apocalyptic number.

113898096 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 113898096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186550560).

113898096 is an abundant number, since it is smaller than the sum of its proper divisors (259203024).

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

113898096 is a wasteful number, since it uses less digits than its factorization.

113898096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 113898096 is about 10672.3050930902. The cubic root of 113898096 is about 484.7362380607.

The spelling of 113898096 in words is "one hundred thirteen million, eight hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1193 1224 1326 1404 1768 1836 1872 1989 2386 2448 2652 2808 3536 3579 3672 3978 4772 5304 5616 5967 7158 7344 7956 9544 10608 10737 11934 14316 15509 15912 19088 20281 21474 23868 28632 31018 31824 32211 40562 42948 46527 47736 57264 60843 62036 64422 81124 85896 93054 95472 121686 124072 128844 139581 162248 171792 182529 186108 243372 248144 257688 263653 279162 324496 365058 372216 418743 486744 515376 527306 547587 558324 730116 744432 790959 837486 973488 1054612 1095174 1116648 1460232 1581918 1674972 2109224 2190348 2233296 2372877 2920464 3163836 3349944 4218448 4380696 4745754 6327672 6699888 7118631 8761392 9491508 12655344 14237262 18983016 28474524 37966032 56949048 113898096