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113405832 = 23341961151
BaseRepresentation
bin1101100001001…
…10111110001000
321220101121120000
412300212332020
5213012441312
615130403000
72544635151
oct660467610
9256347500
10113405832
1159018531
1231b90460
131a658657
14110c0928
159e51adc
hex6c26f88

113405832 has 160 divisors (see below), whose sum is σ = 342091200. Its totient is φ = 34992000.

The previous prime is 113405821. The next prime is 113405867. The reversal of 113405832 is 238504311.

It is a happy number.

It is a super-2 number, since 2×1134058322 = 25721765463224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113405796 and 113405805.

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 39 ways as a sum of consecutive naturals, for example, 750957 + ... + 751107.

It is an arithmetic number, because the mean of its divisors is an integer number (2138070).

Almost surely, 2113405832 is an apocalyptic number.

113405832 is a gapful number since it is divisible by the number (12) 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 113405832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171045600).

113405832 is an abundant number, since it is smaller than the sum of its proper divisors (228685368).

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

113405832 is a wasteful number, since it uses less digits than its factorization.

113405832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 113405832 is about 10649.2174360373. The cubic root of 113405832 is about 484.0368912982.

The spelling of 113405832 in words is "one hundred thirteen million, four hundred five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 81 108 114 122 151 152 162 171 183 216 228 244 302 324 342 366 453 456 488 513 549 604 648 684 732 906 1026 1098 1159 1208 1359 1368 1464 1539 1647 1812 2052 2196 2318 2718 2869 3078 3294 3477 3624 4077 4104 4392 4636 4941 5436 5738 6156 6588 6954 8154 8607 9211 9272 9882 10431 10872 11476 12231 12312 13176 13908 16308 17214 18422 19764 20862 22952 24462 25821 27633 27816 31293 32616 34428 36844 39528 41724 48924 51642 55266 62586 68856 73688 77463 82899 83448 93879 97848 103284 110532 125172 154926 165798 175009 187758 206568 221064 232389 248697 250344 309852 331596 350018 375516 464778 497394 525027 619704 663192 700036 746091 751032 929556 994788 1050054 1400072 1492182 1575081 1859112 1989576 2100108 2984364 3150162 4200216 4725243 5968728 6300324 9450486 12600648 14175729 18900972 28351458 37801944 56702916 113405832