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116577440 = 2557104087
BaseRepresentation
bin1101111001011…
…01010010100000
322010100202011222
412330231102200
5214320434230
615322354212
72613614630
oct674552240
9263322158
10116577440
115a8943a1
123305b968
131b1c9145
14116a86c0
15a37b6e5
hex6f2d4a0

116577440 has 48 divisors (see below), whose sum is σ = 314762112. Its totient is φ = 39969024.

The previous prime is 116577431. The next prime is 116577497. The reversal of 116577440 is 44775611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 116577440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50924 + ... + 53163.

It is an arithmetic number, because the mean of its divisors is an integer number (6557544).

Almost surely, 2116577440 is an apocalyptic number.

116577440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116577440 is an abundant number, since it is smaller than the sum of its proper divisors (198184672).

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

116577440 is a wasteful number, since it uses less digits than its factorization.

116577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104109 (or 104101 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 116577440 is about 10797.1033152415. The cubic root of 116577440 is about 488.5078025019.

The spelling of 116577440 in words is "one hundred sixteen million, five hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 104087 208174 416348 520435 728609 832696 1040870 1457218 1665392 2081740 2914436 3330784 3643045 4163480 5828872 7286090 8326960 11657744 14572180 16653920 23315488 29144360 58288720 116577440