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116423200 = 2552269541
BaseRepresentation
bin1101111000001…
…11101000100000
322010001220121101
412330013220200
5214301020300
615315204144
72612403145
oct674075040
9263056541
10116423200
115a799523
1232ba6654
131b173b8a
14116683cc
15a34ab6a
hex6f07a20

116423200 has 72 divisors (see below), whose sum is σ = 285802020. Its totient is φ = 46310400.

The previous prime is 116423179. The next prime is 116423221. The reversal of 116423200 is 2324611.

It is an interprime number because it is at equal distance from previous prime (116423179) and next prime (116423221).

It can be written as a sum of positive squares in 6 ways, for example, as 12138256 + 104284944 = 3484^2 + 10212^2 .

It is a super-2 number, since 2×1164232002 = 27108722996480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214930 + ... + 215470.

Almost surely, 2116423200 is an apocalyptic number.

116423200 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 116423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142901010).

116423200 is an abundant number, since it is smaller than the sum of its proper divisors (169378820).

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

116423200 is a wasteful number, since it uses less digits than its factorization.

116423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 116423200 is about 10789.9582946367. The cubic root of 116423200 is about 488.2922642358.

Adding to 116423200 its reverse (2324611), we get a palindrome (118747811).

The spelling of 116423200 in words is "one hundred sixteen million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 269 400 538 541 800 1076 1082 1345 2152 2164 2690 2705 4304 4328 5380 5410 6725 8608 8656 10760 10820 13450 13525 17312 21520 21640 26900 27050 43040 43280 53800 54100 86560 107600 108200 145529 215200 216400 291058 432800 582116 727645 1164232 1455290 2328464 2910580 3638225 4656928 5821160 7276450 11642320 14552900 23284640 29105800 58211600 116423200