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113537712 = 2434759853
BaseRepresentation
bin1101100010001…
…11001010110000
321220122022110110
412301013022300
5213031201322
615133301320
72546024511
oct661071260
9256568413
10113537712
11590a8622
1232034840
131a6a36a2
1411116a08
159e7ac0c
hex6c472b0

113537712 has 80 divisors (see below), whose sum is σ = 304980480. Its totient is φ = 36370176.

The previous prime is 113537707. The next prime is 113537777. The reversal of 113537712 is 217735311.

It is a self number, because there is not a number n which added to its sum of digits gives 113537712.

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, 132678 + ... + 133530.

It is an arithmetic number, because the mean of its divisors is an integer number (3812256).

Almost surely, 2113537712 is an apocalyptic number.

113537712 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 113537712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152490240).

113537712 is an abundant number, since it is smaller than the sum of its proper divisors (191442768).

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

113537712 is a wasteful number, since it uses less digits than its factorization.

113537712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 113537712 is about 10655.4076411933. The cubic root of 113537712 is about 484.2244479564.

The spelling of 113537712 in words is "one hundred thirteen million, five hundred thirty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 236 282 354 376 472 564 708 752 853 944 1128 1416 1706 2256 2559 2773 2832 3412 5118 5546 6824 8319 10236 11092 13648 16638 20472 22184 33276 40091 40944 44368 50327 66552 80182 100654 120273 133104 150981 160364 201308 240546 301962 320728 402616 481092 603924 641456 805232 962184 1207848 1924368 2365369 2415696 4730738 7096107 9461476 14192214 18922952 28384428 37845904 56768856 113537712