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70087680 = 210345132
BaseRepresentation
bin1000010110101…
…11010000000000
311212212211020000
410023113100000
5120420301210
610542120000
71510510155
oct413272000
9155784200
1070087680
1136620a03
121b580000
131169c700
14944622c
156246ac0
hex42d7400

70087680 has 330 divisors, whose sum is σ = 271960326. Its totient is φ = 17252352.

The previous prime is 70087679. The next prime is 70087711. The reversal of 70087680 is 8678007.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 69755904 = 576^2 + 8352^2 .

It is a super-3 number, since 3×700876803 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5391354 + ... + 5391366.

Almost surely, 270087680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135980163).

70087680 is an abundant number, since it is smaller than the sum of its proper divisors (201872646).

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

70087680 is a wasteful number, since it uses less digits than its factorization.

70087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 70087680 is about 8371.8385077592. The cubic root of 70087680 is about 412.3005316599.

The spelling of 70087680 in words is "seventy million, eighty-seven thousand, six hundred eighty".