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113340432 = 2434389617
BaseRepresentation
bin1101100000101…
…11000000010000
321220021021211210
412300113000100
5213003343212
615125140120
72544243402
oct660270020
9256237753
10113340432
1158a83387
1231b5a640
131a63495a
14110a4b72
159e3c53c
hex6c17010

113340432 has 80 divisors (see below), whose sum is σ = 303462720. Its totient is φ = 36427776.

The previous prime is 113340421. The next prime is 113340443. The reversal of 113340432 is 234043311.

It is an interprime number because it is at equal distance from previous prime (113340421) and next prime (113340443).

It is a junction number, because it is equal to n+sod(n) for n = 113340399 and 113340408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183388 + ... + 184004.

It is an arithmetic number, because the mean of its divisors is an integer number (3793284).

Almost surely, 2113340432 is an apocalyptic number.

113340432 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 113340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151731360).

113340432 is an abundant number, since it is smaller than the sum of its proper divisors (190122288).

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

113340432 is a wasteful number, since it uses less digits than its factorization.

113340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 113340432 is about 10646.1463450396. The cubic root of 113340432 is about 483.9438270077.

Adding to 113340432 its reverse (234043311), we get a palindrome (347383743).

The spelling of 113340432 in words is "one hundred thirteen million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 89 129 172 178 258 267 344 356 516 534 617 688 712 1032 1068 1234 1424 1851 2064 2136 2468 3702 3827 4272 4936 7404 7654 9872 11481 14808 15308 22962 26531 29616 30616 45924 53062 54913 61232 79593 91848 106124 109826 159186 164739 183696 212248 219652 318372 329478 424496 439304 636744 658956 878608 1273488 1317912 2361259 2635824 4722518 7083777 9445036 14167554 18890072 28335108 37780144 56670216 113340432