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113199744 = 2737231831
BaseRepresentation
bin1101011111101…
…00101010000000
321220000010212010
412233310222000
5212434342434
615122132520
72543116260
oct657645200
9256003763
10113199744
1158997709
1231ab1140
131a5b58c8
14110697a0
159e109e9
hex6bf4a80

113199744 has 128 divisors (see below), whose sum is σ = 358778880. Its totient is φ = 30919680.

The previous prime is 113199727. The next prime is 113199763. The reversal of 113199744 is 447991311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60909 + ... + 62739.

It is an arithmetic number, because the mean of its divisors is an integer number (2802960).

Almost surely, 2113199744 is an apocalyptic number.

113199744 is a gapful number since it is divisible by the number (14) 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 113199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179389440).

113199744 is an abundant number, since it is smaller than the sum of its proper divisors (245579136).

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

113199744 is a wasteful number, since it uses less digits than its factorization.

113199744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 113199744 is about 10639.5368320242. The cubic root of 113199744 is about 483.7435063795.

The spelling of 113199744 in words is "one hundred thirteen million, one hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1831 1932 2208 2576 2688 2944 3662 3864 4416 5152 5493 7324 7728 8832 10304 10986 12817 14648 15456 20608 21972 25634 29296 30912 38451 42113 43944 51268 58592 61824 76902 84226 87888 102536 117184 126339 153804 168452 175776 205072 234368 252678 294791 307608 336904 351552 410144 505356 589582 615216 673808 703104 820288 884373 1010712 1179164 1230432 1347616 1640576 1768746 2021424 2358328 2460864 2695232 3537492 4042848 4716656 4921728 5390464 7074984 8085696 9433312 14149968 16171392 18866624 28299936 37733248 56599872 113199744