Search a number
-
+
113530900 = 22527792053
BaseRepresentation
bin1101100010001…
…01100000010100
321220121222010011
412301011200110
5213030442100
615133210004
72545665610
oct661054024
9256558104
10113530900
11590a349a
1232030904
131a6a0562
1411114340
159e78bba
hex6c45814

113530900 has 72 divisors (see below), whose sum is σ = 285259520. Its totient is φ = 38413440.

The previous prime is 113530877. The next prime is 113530933. The reversal of 113530900 is 9035311.

It is a congruent number.

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, 54274 + ... + 56326.

Almost surely, 2113530900 is an apocalyptic number.

113530900 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 113530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142629760).

113530900 is an abundant number, since it is smaller than the sum of its proper divisors (171728620).

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

113530900 is a wasteful number, since it uses less digits than its factorization.

113530900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 113530900 is about 10655.0879864973. The cubic root of 113530900 is about 484.2147636473.

The spelling of 113530900 in words is "one hundred thirteen million, five hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2053 2212 2765 3950 4106 5530 7900 8212 10265 11060 13825 14371 20530 27650 28742 41060 51325 55300 57484 71855 102650 143710 162187 205300 287420 324374 359275 648748 718550 810935 1135309 1437100 1621870 2270618 3243740 4054675 4541236 5676545 8109350 11353090 16218700 22706180 28382725 56765450 113530900