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116424840 = 233571731263
BaseRepresentation
bin1101111000010…
…00000010001000
322010001222212010
412330020002020
5214301043330
615315215520
72612411010
oct674100210
9263058763
10116424840
115a79a784
1232ba75a0
131b17484c
1411668c40
15a34b3b0
hex6f08088

116424840 has 256 divisors, whose sum is σ = 437944320. Its totient is φ = 24145920.

The previous prime is 116424839. The next prime is 116424859. The reversal of 116424840 is 48424611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116424798 and 116424807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442549 + ... + 442811.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 2116424840 is an apocalyptic number.

116424840 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 116424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218972160).

116424840 is an abundant number, since it is smaller than the sum of its proper divisors (321519480).

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

116424840 is a wasteful number, since it uses less digits than its factorization.

116424840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 116424840 is about 10790.0342909557. The cubic root of 116424840 is about 488.2945570078.

The spelling of 116424840 in words is "one hundred sixteen million, four hundred twenty-four thousand, eight hundred forty".