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70099072 = 275310333
BaseRepresentation
bin1000010110110…
…10000010000000
311212220101211221
410023122002000
5120421132242
610542244424
71510555321
oct413320200
9155811757
1070099072
113662951a
121b586714
13116a4954
14944a448
15624a167
hex42da080

70099072 has 32 divisors (see below), whose sum is σ = 142299180. Its totient is φ = 34384896.

The previous prime is 70099069. The next prime is 70099079. The reversal of 70099072 is 27099007.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 3904576 = 8136^2 + 1976^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×700990723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (70099079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1618 + ... + 11950.

Almost surely, 270099072 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 70099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71149590).

70099072 is an abundant number, since it is smaller than the sum of its proper divisors (72200108).

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

70099072 is a wasteful number, since it uses less digits than its factorization.

70099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 70099072 is about 8372.5188563538. The cubic root of 70099072 is about 412.3228687915.

The spelling of 70099072 in words is "seventy million, ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 10333 20666 41332 82664 165328 330656 547649 661312 1095298 1322624 2190596 4381192 8762384 17524768 35049536 70099072