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70036320 = 2535532753
BaseRepresentation
bin1000010110010…
…10101101100000
311212210012202210
410023022231200
5120412130240
610541042120
71510204344
oct413125540
9155705683
1070036320
1136596362
121b556340
1311682213
149431624
156236780
hex42cab60

70036320 has 96 divisors (see below), whose sum is σ = 224858592. Its totient is φ = 18317312.

The previous prime is 70036319. The next prime is 70036331. The reversal of 70036320 is 2363007.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×700363202 = 9810172238284800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24064 + ... + 26816.

It is an arithmetic number, because the mean of its divisors is an integer number (2342277).

Almost surely, 270036320 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 70036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112429296).

70036320 is an abundant number, since it is smaller than the sum of its proper divisors (154822272).

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

70036320 is a wasteful number, since it uses less digits than its factorization.

70036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 70036320 is about 8368.7705190189. The cubic root of 70036320 is about 412.1997962671.

Adding to 70036320 its reverse (2363007), we get a palindrome (72399327).

The spelling of 70036320 in words is "seventy million, thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 2753 3180 4240 5088 5506 6360 8259 8480 11012 12720 13765 16518 22024 25440 27530 33036 41295 44048 55060 66072 82590 88096 110120 132144 145909 165180 220240 264288 291818 330360 437727 440480 583636 660720 729545 875454 1167272 1321440 1459090 1750908 2188635 2334544 2918180 3501816 4377270 4669088 5836360 7003632 8754540 11672720 14007264 17509080 23345440 35018160 70036320