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113420496 = 24373832
BaseRepresentation
bin1101100001010…
…10100011010000
321220102100200010
412300222203100
5213013423441
615130554520
72545026000
oct660524320
9256370603
10113420496
1159028552
1231b98a40
131a662227
14110c6000
159e56116
hex6c2a8d0

113420496 has 120 divisors (see below), whose sum is σ = 345860800. Its totient is φ = 32015424.

The previous prime is 113420491. The next prime is 113420501. The reversal of 113420496 is 694024311.

It is an interprime number because it is at equal distance from previous prime (113420491) and next prime (113420501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113420491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366471 + ... + 1366553.

Almost surely, 2113420496 is an apocalyptic number.

113420496 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 113420496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172930400).

113420496 is an abundant number, since it is smaller than the sum of its proper divisors (232440304).

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

113420496 is an frugal number, since it uses more digits than its factorization.

113420496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 113420496 is about 10649.9059150774. The cubic root of 113420496 is about 484.0577532795.

The spelling of 113420496 in words is "one hundred thirteen million, four hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 83 84 98 112 147 166 168 196 249 294 332 336 343 392 498 581 588 664 686 784 996 1029 1162 1176 1328 1372 1743 1992 2058 2324 2352 2744 3486 3984 4067 4116 4648 5488 6889 6972 8134 8232 9296 12201 13778 13944 16268 16464 20667 24402 27556 27888 28469 32536 41334 48223 48804 55112 56938 65072 82668 85407 96446 97608 110224 113876 144669 165336 170814 192892 195216 227752 289338 330672 337561 341628 385784 455504 578676 675122 683256 771568 1012683 1157352 1350244 1366512 2025366 2314704 2362927 2700488 4050732 4725854 5400976 7088781 8101464 9451708 14177562 16202928 18903416 28355124 37806832 56710248 113420496