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116525200 = 24521171373
BaseRepresentation
bin1101111001000…
…00100010010000
322010021002112011
412330200202100
5214312301300
615321312304
72613306421
oct674404220
9263232464
10116525200
115a859120
1233035694
131b1ab42c
1411693648
15a36aeba
hex6f20890

116525200 has 120 divisors (see below), whose sum is σ = 310533696. Its totient is φ = 41664000.

The previous prime is 116525179. The next prime is 116525203. The reversal of 116525200 is 2525611.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (116525203) 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, 312214 + ... + 312586.

Almost surely, 2116525200 is an apocalyptic number.

116525200 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 116525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155266848).

116525200 is an abundant number, since it is smaller than the sum of its proper divisors (194008496).

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

116525200 is a wasteful number, since it uses less digits than its factorization.

116525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 116525200 is about 10794.6838767979. The cubic root of 116525200 is about 488.4348225141.

The spelling of 116525200 in words is "one hundred sixteen million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 142 176 200 220 275 284 355 373 400 440 550 568 710 746 781 880 1100 1136 1420 1492 1562 1775 1865 2200 2840 2984 3124 3550 3730 3905 4103 4400 5680 5968 6248 7100 7460 7810 8206 9325 12496 14200 14920 15620 16412 18650 19525 20515 26483 28400 29840 31240 32824 37300 39050 41030 52966 62480 65648 74600 78100 82060 102575 105932 132415 149200 156200 164120 205150 211864 264830 291313 312400 328240 410300 423728 529660 582626 662075 820600 1059320 1165252 1324150 1456565 1641200 2118640 2330504 2648300 2913130 4661008 5296600 5826260 7282825 10593200 11652520 14565650 23305040 29131300 58262600 116525200