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116607400 = 235271343149
BaseRepresentation
bin1101111001101…
…00100110101000
322010102021021121
412330310212220
5214322414100
615323145024
72614101160
oct674644650
9263367247
10116607400
115a904958
1233075174
131b209980
14116b55a0
15a38551a
hex6f349a8

116607400 has 192 divisors, whose sum is σ = 343728000. Its totient is φ = 35804160.

The previous prime is 116607377. The next prime is 116607409. The reversal of 116607400 is 4706611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (116607409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782526 + ... + 782674.

It is an arithmetic number, because the mean of its divisors is an integer number (1790250).

Almost surely, 2116607400 is an apocalyptic number.

116607400 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 116607400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

116607400 is an abundant number, since it is smaller than the sum of its proper divisors (227120600).

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

116607400 is a wasteful number, since it uses less digits than its factorization.

116607400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 116607400 is about 10798.4906352694. The cubic root of 116607400 is about 488.5496471910.

The spelling of 116607400 in words is "one hundred sixteen million, six hundred seven thousand, four hundred".