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70016128 = 277136011
BaseRepresentation
bin1000010110001…
…01110010000000
311212202012001221
410023011302000
5120411004003
610540404424
71510061440
oct413056200
9155665057
1070016128
1136582176
121b546714
1311675c80
149428120
1562307bd
hex42c5c80

70016128 has 64 divisors (see below), whose sum is σ = 171702720. Its totient is φ = 27694080.

The previous prime is 70016119. The next prime is 70016147. The reversal of 70016128 is 82161007.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×700161282 = 9804516360224768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8643 + ... + 14653.

It is an arithmetic number, because the mean of its divisors is an integer number (2682855).

Almost surely, 270016128 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 70016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85851360).

70016128 is an abundant number, since it is smaller than the sum of its proper divisors (101686592).

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

70016128 is a wasteful number, since it uses less digits than its factorization.

70016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 70016128 is about 8367.5640421810. The cubic root of 70016128 is about 412.1601790214.

It can be divided in two parts, 700 and 16128, that multiplied together give a square (11289600 = 33602).

The spelling of 70016128 in words is "seventy million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 6011 11648 12022 24044 42077 48088 78143 84154 96176 156286 168308 192352 312572 336616 384704 547001 625144 673232 769408 1094002 1250288 1346464 2188004 2500576 2692928 4376008 5001152 5385856 8752016 10002304 17504032 35008064 70016128