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113650000 = 24552273
BaseRepresentation
bin1101100011000…
…10100101010000
321220212000111021
412301202211100
5213043300000
615135525224
72550003052
oct661424520
9256760437
10113650000
1159174a22
1232089814
131a712829
14111458d2
159e9e11a
hex6c62950

113650000 has 60 divisors (see below), whose sum is σ = 275349564. Its totient is φ = 45440000.

The previous prime is 113649971. The next prime is 113650003. The reversal of 113650000 is 56311.

It can be written as a sum of positive squares in 6 ways, for example, as 71503936 + 42146064 = 8456^2 + 6492^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113650003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48864 + ... + 51136.

Almost surely, 2113650000 is an apocalyptic number.

113650000 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 113650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137674782).

113650000 is an abundant number, since it is smaller than the sum of its proper divisors (161699564).

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

113650000 is an frugal number, since it uses more digits than its factorization.

113650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113650000 is about 10660.6754007427. The cubic root of 113650000 is about 484.3840268869.

The spelling of 113650000 in words is "one hundred thirteen million, six hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2273 2500 3125 4546 5000 6250 9092 10000 11365 12500 18184 22730 25000 36368 45460 50000 56825 90920 113650 181840 227300 284125 454600 568250 909200 1136500 1420625 2273000 2841250 4546000 5682500 7103125 11365000 14206250 22730000 28412500 56825000 113650000