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70806320 = 24513103661
BaseRepresentation
bin1000011100001…
…10101100110000
311221020100000022
410032012230300
5121111300240
611005343012
71516562264
oct416065460
9157210008
1070806320
1136a71922
121b867a68
1311891840
1495920a4
1563399b5
hex4386b30

70806320 has 80 divisors (see below), whose sum is σ = 179280192. Its totient is φ = 25850880.

The previous prime is 70806319. The next prime is 70806341. The reversal of 70806320 is 2360807.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 70806320.

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, 106790 + ... + 107450.

Almost surely, 270806320 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 70806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89640096).

70806320 is an abundant number, since it is smaller than the sum of its proper divisors (108473872).

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

70806320 is a wasteful number, since it uses less digits than its factorization.

70806320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 70806320 is about 8414.6491311284. The cubic root of 70806320 is about 413.7049092436.

The spelling of 70806320 in words is "seventy million, eight hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 412 515 520 661 824 1030 1040 1322 1339 1648 2060 2644 2678 3305 4120 5288 5356 6610 6695 8240 8593 10576 10712 13220 13390 17186 21424 26440 26780 34372 42965 52880 53560 68083 68744 85930 107120 136166 137488 171860 272332 340415 343720 544664 680830 687440 885079 1089328 1361660 1770158 2723320 3540316 4425395 5446640 7080632 8850790 14161264 17701580 35403160 70806320