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70823016 = 233211223401
BaseRepresentation
bin1000011100010…
…10110001101000
311221021011220200
410032022301220
5121112314031
611005552200
71516662045
oct416126150
9157234820
1070823016
1136a83420
121b875660
1311899314
1495981cc
15633e8e6
hex438ac68

70823016 has 96 divisors (see below), whose sum is σ = 210712320. Its totient is φ = 21312000.

The previous prime is 70823009. The next prime is 70823029. The reversal of 70823016 is 61032807.

70823016 = 2042 + 2052 + ... + 6042.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176416 + ... + 176816.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 270823016 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 70823016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105356160).

70823016 is an abundant number, since it is smaller than the sum of its proper divisors (139889304).

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

70823016 is a wasteful number, since it uses less digits than its factorization.

70823016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70823016 is about 8415.6411520454. The cubic root of 70823016 is about 413.7374236403.

The spelling of 70823016 in words is "seventy million, eight hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 223 264 396 401 446 669 792 802 892 1203 1338 1604 1784 2007 2406 2453 2676 3208 3609 4014 4411 4812 4906 5352 7218 7359 8028 8822 9624 9812 13233 14436 14718 16056 17644 19624 22077 26466 28872 29436 35288 39699 44154 52932 58872 79398 88308 89423 105864 158796 176616 178846 268269 317592 357692 536538 715384 804807 983653 1073076 1609614 1967306 2146152 2950959 3219228 3934612 5901918 6438456 7869224 8852877 11803836 17705754 23607672 35411508 70823016