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70077312 = 2736751
BaseRepresentation
bin1000010110101…
…00101110000000
311212212022000000
410023110232000
5120414433222
610542000000
71510435014
oct413245600
9155768000
1070077312
1136614138
121b576000
1311697a86
149442544
1562439ac
hex42d4b80

70077312 has 112 divisors (see below), whose sum is σ = 209593680. Its totient is φ = 23328000.

The previous prime is 70077209. The next prime is 70077341. The reversal of 70077312 is 21377007.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92937 + ... + 93687.

Almost surely, 270077312 is an apocalyptic number.

70077312 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 70077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104796840).

70077312 is an abundant number, since it is smaller than the sum of its proper divisors (139516368).

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

70077312 is an frugal number, since it uses more digits than its factorization.

70077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 70077312 is about 8371.2192660329. The cubic root of 70077312 is about 412.2802002564.

The spelling of 70077312 in words is "seventy million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 751 864 972 1152 1296 1458 1502 1728 1944 2253 2592 2916 3004 3456 3888 4506 5184 5832 6008 6759 7776 9012 10368 11664 12016 13518 15552 18024 20277 23328 24032 27036 31104 36048 40554 46656 48064 54072 60831 72096 81108 93312 96128 108144 121662 144192 162216 182493 216288 243324 288384 324432 364986 432576 486648 547479 648864 729972 865152 973296 1094958 1297728 1459944 1946592 2189916 2595456 2919888 3893184 4379832 5839776 7786368 8759664 11679552 17519328 23359104 35038656 70077312