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116421600 = 25352179271
BaseRepresentation
bin1101111000001…
…11001111100000
322010001211102010
412330013033200
5214300442400
615315152520
72612365401
oct674071740
9263054363
10116421600
115a7982a9
1232ba5740
131b173229
14116679a8
15a34a450
hex6f073e0

116421600 has 144 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 30758400.

The previous prime is 116421587. The next prime is 116421601. The reversal of 116421600 is 6124611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116421601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429465 + ... + 429735.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2116421600 is an apocalyptic number.

116421600 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 116421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

116421600 is an abundant number, since it is smaller than the sum of its proper divisors (266053920).

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

116421600 is a wasteful number, since it uses less digits than its factorization.

116421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 116421600 is about 10789.8841513707. The cubic root of 116421600 is about 488.2900273644.

The spelling of 116421600 in words is "one hundred sixteen million, four hundred twenty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 179 200 240 271 300 358 400 480 537 542 600 716 800 813 895 1074 1084 1200 1355 1432 1626 1790 2148 2168 2400 2685 2710 2864 3252 3580 4065 4296 4336 4475 5370 5420 5728 6504 6775 7160 8130 8592 8672 8950 10740 10840 13008 13425 13550 14320 16260 17184 17900 20325 21480 21680 26016 26850 27100 28640 32520 35800 40650 42960 43360 48509 53700 54200 65040 71600 81300 85920 97018 107400 108400 130080 143200 145527 162600 194036 214800 216800 242545 291054 325200 388072 429600 485090 582108 650400 727635 776144 970180 1164216 1212725 1455270 1552288 1940360 2328432 2425450 2910540 3638175 3880720 4656864 4850900 5821080 7276350 7761440 9701800 11642160 14552700 19403600 23284320 29105400 38807200 58210800 116421600