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70096320 = 2633571961
BaseRepresentation
bin1000010110110…
…01010111000000
311212220021002000
410023121113000
5120421040240
610542224000
71510544310
oct413312700
9155807060
1070096320
1136627448
121b585000
13116a3618
149449440
156249430
hex42d95c0

70096320 has 448 divisors, whose sum is σ = 302361600. Its totient is φ = 14929920.

The previous prime is 70096319. The next prime is 70096349. The reversal of 70096320 is 2369007.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149090 + ... + 1149150.

Almost surely, 270096320 is an apocalyptic number.

70096320 is a gapful number since it is divisible by the number (70) 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 70096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151180800).

70096320 is an abundant number, since it is smaller than the sum of its proper divisors (232265280).

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

70096320 is a wasteful number, since it uses less digits than its factorization.

70096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 70096320 is about 8372.3545075445. The cubic root of 70096320 is about 412.3174729646.

It can be divided in two parts, 700 and 96320, that added together give a triangular number (97020 = T440).

The spelling of 70096320 in words is "seventy million, ninety-six thousand, three hundred twenty".