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70420896 = 25327132687
BaseRepresentation
bin1000011001010…
…00100110100000
311220111202022100
410030220212200
5121011432041
610553210400
71513365510
oct414504640
9156452270
1070420896
1136829297
121b700a00
1311788290
1494d1840
1562b06b6
hex43289a0

70420896 has 144 divisors (see below), whose sum is σ = 246564864. Its totient is φ = 18565632.

The previous prime is 70420841. The next prime is 70420907. The reversal of 70420896 is 69802407.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 70420896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24865 + ... + 27551.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 270420896 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 70420896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123282432).

70420896 is an abundant number, since it is smaller than the sum of its proper divisors (176143968).

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

70420896 is a wasteful number, since it uses less digits than its factorization.

70420896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 70420896 is about 8391.7159151153. The cubic root of 70420896 is about 412.9528954088.

The spelling of 70420896 in words is "seventy million, four hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2687 2912 3276 3744 4368 5374 6552 8061 8736 10748 13104 16122 18809 21496 24183 26208 32244 34931 37618 42992 48366 56427 64488 69862 75236 85984 96732 104793 112854 128976 139724 150472 169281 193464 209586 225708 244517 257952 279448 300944 314379 338562 386928 419172 451416 489034 558896 601888 628758 677124 733551 773856 838344 902832 978068 1117792 1257516 1354248 1467102 1676688 1805664 1956136 2200653 2515032 2708496 2934204 3353376 3912272 4401306 5030064 5416992 5868408 7824544 8802612 10060128 11736816 17605224 23473632 35210448 70420896