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70242912 = 25321714347
BaseRepresentation
bin1000010111111…
…01001001100000
311220011201011100
410023331021200
5120440233122
610545314400
71512024555
oct413751140
9156151140
1070242912
11367175a3
121b635a00
131172526c
149486a2c
156277aac
hex42fd260

70242912 has 72 divisors (see below), whose sum is σ = 211518216. Its totient is φ = 22035456.

The previous prime is 70242889. The next prime is 70242917. The reversal of 70242912 is 21924207.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70242917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2278 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (2937753).

Almost surely, 270242912 is an apocalyptic number.

70242912 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 70242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105759108).

70242912 is an abundant number, since it is smaller than the sum of its proper divisors (141275304).

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

70242912 is a wasteful number, since it uses less digits than its factorization.

70242912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14380 (or 14369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70242912 is about 8381.1044618236. The cubic root of 70242912 is about 412.6046984926.

The spelling of 70242912 in words is "seventy million, two hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 14347 28694 43041 57388 86082 114776 129123 172164 229552 243899 258246 344328 459104 487798 516492 688656 731697 975596 1032984 1377312 1463394 1951192 2065968 2195091 2926788 3902384 4131936 4390182 5853576 7804768 8780364 11707152 17560728 23414304 35121456 70242912