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70707672 = 23327239587
BaseRepresentation
bin1000011011011…
…10100111011000
311221001022200200
410031232213120
5121100121142
611003302200
71516001550
oct415564730
9157038620
1070707672
1136a047a2
121b81a960
1311858979
149568160
15631a64c
hex436e9d8

70707672 has 96 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 20083392.

The previous prime is 70707667. The next prime is 70707697. The reversal of 70707672 is 27670707.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

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, 120163 + ... + 120749.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 270707672 is an apocalyptic number.

70707672 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 70707672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

70707672 is an abundant number, since it is smaller than the sum of its proper divisors (149439528).

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

70707672 is a wasteful number, since it uses less digits than its factorization.

70707672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 70707672 is about 8408.7854057527. The cubic root of 70707672 is about 413.5126941541.

The spelling of 70707672 in words is "seventy million, seven hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 239 252 478 504 587 717 956 1174 1434 1673 1761 1912 2151 2348 2868 3346 3522 4109 4302 4696 5019 5283 5736 6692 7044 8218 8604 10038 10566 12327 13384 14088 15057 16436 17208 20076 21132 24654 30114 32872 36981 40152 42264 49308 60228 73962 98616 120456 140293 147924 280586 295848 420879 561172 841758 982051 1122344 1262637 1683516 1964102 2525274 2946153 3367032 3928204 5050548 5892306 7856408 8838459 10101096 11784612 17676918 23569224 35353836 70707672