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70838064 = 2434114969
BaseRepresentation
bin1000011100011…
…10011100110000
311221021221120000
410032032130300
5121113304224
611010150000
71520053653
oct416163460
9157257500
1070838064
1136a93760
121b882300
13118a311b
14959d89a
1563440c9
hex438e730

70838064 has 100 divisors (see below), whose sum is σ = 223709640. Its totient is φ = 21461760.

The previous prime is 70838063. The next prime is 70838083. The reversal of 70838064 is 46083807.

It is a super-2 number, since 2×708380642 = 10036062622536192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (70838063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11772 + ... + 16740.

Almost surely, 270838064 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 70838064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111854820).

70838064 is an abundant number, since it is smaller than the sum of its proper divisors (152871576).

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

70838064 is a wasteful number, since it uses less digits than its factorization.

70838064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 70838064 is about 8416.5351540881. The cubic root of 70838064 is about 413.7667242839.

The spelling of 70838064 in words is "seventy million, eight hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 4969 7128 9938 14256 14907 19876 29814 39752 44721 54659 59628 79504 89442 109318 119256 134163 163977 178884 218636 238512 268326 327954 357768 402489 437272 491931 536652 655908 715536 804978 874544 983862 1073304 1311816 1475793 1609956 1967724 2146608 2623632 2951586 3219912 3935448 4427379 5903172 6439824 7870896 8854758 11806344 17709516 23612688 35419032 70838064