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113144520 = 233517371499
BaseRepresentation
bin1101011111001…
…11001011001000
321212220100002210
412233213023020
5212431111040
615121025120
72542466256
oct657471310
9255810083
10113144520
115895a175
1231a851a0
131a596728
14110535d6
159dee480
hex6be72c8

113144520 has 128 divisors (see below), whose sum is σ = 369360000. Its totient is φ = 27611136.

The previous prime is 113144519. The next prime is 113144539. The reversal of 113144520 is 25441311.

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, 74731 + ... + 76229.

It is an arithmetic number, because the mean of its divisors is an integer number (2885625).

Almost surely, 2113144520 is an apocalyptic number.

113144520 is a gapful number since it is divisible by the number (10) 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 113144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184680000).

113144520 is an abundant number, since it is smaller than the sum of its proper divisors (256215480).

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

113144520 is a wasteful number, since it uses less digits than its factorization.

113144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 113144520 is about 10636.9412896753. The cubic root of 113144520 is about 483.6648295328.

Adding to 113144520 its reverse (25441311), we get a palindrome (138585831).

The spelling of 113144520 in words is "one hundred thirteen million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1499 1887 2040 2220 2516 2998 3145 3774 4440 4497 5032 5996 6290 7495 7548 8994 9435 11992 12580 14990 15096 17988 18870 22485 25160 25483 29980 35976 37740 44970 50966 55463 59960 75480 76449 89940 101932 110926 127415 152898 166389 179880 203864 221852 254830 277315 305796 332778 382245 443704 509660 554630 611592 665556 764490 831945 942871 1019320 1109260 1331112 1528980 1663890 1885742 2218520 2828613 3057960 3327780 3771484 4714355 5657226 6655560 7542968 9428710 11314452 14143065 18857420 22628904 28286130 37714840 56572260 113144520