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70914816 = 283274397
BaseRepresentation
bin1000011101000…
…01001100000000
311221102211211200
410032201030000
5121123233231
611011541200
71520523510
oct416411400
9157384750
1070914816
1137036395
121b8ba800
13118cc03b
1495bd840
15635bbe6
hex43a1300

70914816 has 108 divisors (see below), whose sum is σ = 233727312. Its totient is φ = 20256768.

The previous prime is 70914787. The next prime is 70914817. The reversal of 70914816 is 61841907.

It is a super-2 number, since 2×709148162 = 10057822256627712, 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 (70914817) 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, 13930 + ... + 18326.

Almost surely, 270914816 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 70914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116863656).

70914816 is an abundant number, since it is smaller than the sum of its proper divisors (162812496).

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

70914816 is a wasteful number, since it uses less digits than its factorization.

70914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 70914816 is about 8421.0935156902. The cubic root of 70914816 is about 413.9161070647.

The spelling of 70914816 in words is "seventy million, nine hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 4397 5376 8064 8794 13191 16128 17588 26382 30779 35176 39573 52764 61558 70352 79146 92337 105528 123116 140704 158292 184674 211056 246232 277011 281408 316584 369348 422112 492464 554022 562816 633168 738696 844224 984928 1108044 1125632 1266336 1477392 1688448 1969856 2216088 2532672 2954784 3376896 3939712 4432176 5065344 5909568 7879424 8864352 10130688 11819136 17728704 23638272 35457408 70914816