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116663040 = 28325131941
BaseRepresentation
bin1101111010000…
…10001100000000
322010112002121100
412331002030000
5214331204130
615324254400
72614422324
oct675021400
9263462540
10116663040
115a94273a
12330a1400
131b2290b0
14116cb984
15a396c60
hex6f42300

116663040 has 432 divisors, whose sum is σ = 468730080. Its totient is φ = 26542080.

The previous prime is 116663033. The next prime is 116663077. The reversal of 116663040 is 40366611.

It is a super-2 number, since 2×1166630402 = 27220529804083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116662995 and 116663013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845420 + ... + 2845460.

Almost surely, 2116663040 is an apocalyptic number.

116663040 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 116663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

116663040 is an abundant number, since it is smaller than the sum of its proper divisors (352067040).

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

116663040 is a wasteful number, since it uses less digits than its factorization.

116663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 116663040 is about 10801.0666139970. The cubic root of 116663040 is about 488.6273397445.

It can be divided in two parts, 11666 and 3040, that added together give a triangular number (14706 = T171).

The spelling of 116663040 in words is "one hundred sixteen million, six hundred sixty-three thousand, forty".