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70830432 = 25321722337
BaseRepresentation
bin1000011100011…
…00100101100000
311221021120002100
410032030211200
5121113033212
611010050400
71520022501
oct416144540
9157246070
1070830432
1136a88a52
121b879a00
131189c7ca
14959aba8
156341bdc
hex438c960

70830432 has 216 divisors, whose sum is σ = 229306896. Its totient is φ = 20680704.

The previous prime is 70830427. The next prime is 70830433. The reversal of 70830432 is 23403807.

It is a junction number, because it is equal to n+sod(n) for n = 70830396 and 70830405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70830433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1914318 + ... + 1914354.

It is an arithmetic number, because the mean of its divisors is an integer number (1061606).

Almost surely, 270830432 is an apocalyptic number.

70830432 is a gapful number since it is divisible by the number (72) 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 70830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114653448).

70830432 is an abundant number, since it is smaller than the sum of its proper divisors (158476464).

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

70830432 is a wasteful number, since it uses less digits than its factorization.

70830432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 70830432 is about 8416.0817486524. The cubic root of 70830432 is about 413.7518641890.

The spelling of 70830432 in words is "seventy million, eight hundred thirty thousand, four hundred thirty-two".