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11713100 = 2252729577
BaseRepresentation
bin101100101011…
…101001001100
3211001002100112
4230223221030
510444304400
61055015152
7201362660
oct54535114
924032315
1011713100
116680253
123b0a4b8
132571539
1417ac8a0
151065835
hexb2ba4c

11713100 has 72 divisors (see below), whose sum is σ = 30102240. Its totient is φ = 3870720.

The previous prime is 11713081. The next prime is 11713111. The reversal of 11713100 is 131711.

11713100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×117131002 = 274393423220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 20012 + ... + 20588.

Almost surely, 211713100 is an apocalyptic number.

11713100 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 11713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051120).

11713100 is an abundant number, since it is smaller than the sum of its proper divisors (18389140).

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

11713100 is a wasteful number, since it uses less digits than its factorization.

11713100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 11713100 is about 3422.4406495950. The cubic root of 11713100 is about 227.1035643022.

Adding to 11713100 its reverse (131711), we get a palindrome (11844811).

The spelling of 11713100 in words is "eleven million, seven hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 577 580 700 725 812 1015 1154 1450 2030 2308 2885 2900 4039 4060 5075 5770 8078 10150 11540 14425 16156 16733 20195 20300 28850 33466 40390 57700 66932 80780 83665 100975 117131 167330 201950 234262 334660 403900 418325 468524 585655 836650 1171310 1673300 2342620 2928275 5856550 11713100