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70127064 = 23327612281
BaseRepresentation
bin1000010111000…
…00110111011000
311212221211020200
410023200313120
5120423031224
610543022200
71511033040
oct413406730
9155854220
1070127064
1136648557
121b59a960
13116b4607
149456720
1562535c9
hex42e0dd8

70127064 has 96 divisors (see below), whose sum is σ = 220715040. Its totient is φ = 19699200.

The previous prime is 70127063. The next prime is 70127087. The reversal of 70127064 is 46072107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70127063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29604 + ... + 31884.

It is an arithmetic number, because the mean of its divisors is an integer number (2299115).

Almost surely, 270127064 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 70127064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110357520).

70127064 is an abundant number, since it is smaller than the sum of its proper divisors (150587976).

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

70127064 is a wasteful number, since it uses less digits than its factorization.

70127064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 70127064 is about 8374.1903489233. The cubic root of 70127064 is about 412.3777444861.

The spelling of 70127064 in words is "seventy million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2281 2562 3416 3843 4392 4562 5124 6843 7686 9124 10248 13686 15372 15967 18248 20529 27372 30744 31934 41058 47901 54744 63868 82116 95802 127736 139141 143703 164232 191604 278282 287406 383208 417423 556564 574812 834846 973987 1113128 1149624 1252269 1669692 1947974 2504538 2921961 3339384 3895948 5009076 5843922 7791896 8765883 10018152 11687844 17531766 23375688 35063532 70127064