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116391400 = 23525211117
BaseRepresentation
bin1101110111111…
…11110111101000
322010000021222121
412323333313220
5214244011100
615314401024
72612211346
oct673776750
9263007877
10116391400
115a777644
1232b90174
131b162568
141165a996
15a34151a
hex6effde8

116391400 has 48 divisors (see below), whose sum is σ = 271372140. Its totient is φ = 46425600.

The previous prime is 116391377. The next prime is 116391403. The reversal of 116391400 is 4193611.

It can be written as a sum of positive squares in 6 ways, for example, as 6937956 + 109453444 = 2634^2 + 10462^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 (116391403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103642 + ... + 104758.

Almost surely, 2116391400 is an apocalyptic number.

116391400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116391400 is an abundant number, since it is smaller than the sum of its proper divisors (154980740).

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

116391400 is a wasteful number, since it uses less digits than its factorization.

116391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 116391400 is about 10788.4846016482. The cubic root of 116391400 is about 488.2478025708.

The spelling of 116391400 in words is "one hundred sixteen million, three hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 1117 2084 2234 2605 4168 4468 5210 5585 8936 10420 11170 13025 20840 22340 26050 27925 44680 52100 55850 104200 111700 223400 581957 1163914 2327828 2909785 4655656 5819570 11639140 14548925 23278280 29097850 58195700 116391400