Search a number
-
+
113747620 = 22572373137
BaseRepresentation
bin1101100011110…
…10011010100100
321221000222101211
412301322122210
5213104410440
615142001204
72550560500
oct661723244
9257028354
10113747620
11592312a8
1232116204
131a7480ac
141116d300
159ebceea
hex6c7a6a4

113747620 has 72 divisors (see below), whose sum is σ = 285470136. Its totient is φ = 37933056.

The previous prime is 113747611. The next prime is 113747633. The reversal of 113747620 is 26747311.

It can be written as a sum of positive squares in 4 ways, for example, as 72454144 + 41293476 = 8512^2 + 6426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34692 + ... + 37828.

It is an arithmetic number, because the mean of its divisors is an integer number (3964863).

Almost surely, 2113747620 is an apocalyptic number.

113747620 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 113747620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142735068).

113747620 is an abundant number, since it is smaller than the sum of its proper divisors (171722516).

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

113747620 is a wasteful number, since it uses less digits than its factorization.

113747620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 113747620 is about 10665.2529271462. The cubic root of 113747620 is about 484.5226748895.

The spelling of 113747620 in words is "one hundred thirteen million, seven hundred forty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3137 3626 5180 6274 7252 9065 12548 15685 18130 21959 31370 36260 43918 62740 87836 109795 116069 153713 219590 232138 307426 439180 464276 580345 614852 768565 812483 1160690 1537130 1624966 2321380 3074260 3249932 4062415 5687381 8124830 11374762 16249660 22749524 28436905 56873810 113747620