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116657000 = 2353116657
BaseRepresentation
bin1101111010000…
…00101101101000
322010111210022122
412331000231220
5214331011000
615324210412
72614365605
oct675005550
9263453278
10116657000
115a939149
1233099a08
131b226415
14116c96ac
15a395085
hex6f40b68

116657000 has 32 divisors (see below), whose sum is σ = 272979720. Its totient is φ = 46662400.

The previous prime is 116656987. The next prime is 116657003. The reversal of 116657000 is 756611.

It can be written as a sum of positive squares in 4 ways, for example, as 4169764 + 112487236 = 2042^2 + 10606^2 .

It is not an unprimeable number, because it can be changed into a prime (116657003) by changing a digit.

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, 57329 + ... + 59328.

Almost surely, 2116657000 is an apocalyptic number.

116657000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116657000 is an abundant number, since it is smaller than the sum of its proper divisors (156322720).

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

116657000 is a wasteful number, since it uses less digits than its factorization.

116657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116678 (or 116664 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 116657000 is about 10800.7870083619. The cubic root of 116657000 is about 488.6189070251.

The spelling of 116657000 in words is "one hundred sixteen million, six hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 116657 233314 466628 583285 933256 1166570 2333140 2916425 4666280 5832850 11665700 14582125 23331400 29164250 58328500 116657000