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70675680 = 2535732017
BaseRepresentation
bin1000011011001…
…10110011100000
311220222200210210
410031212303200
5121043110210
611002454120
71515506355
oct415466340
9156880723
1070675680
1136992759
121b804340
131184723a
14955a62c
156310e20
hex4366ce0

70675680 has 96 divisors (see below), whose sum is σ = 225789984. Its totient is φ = 18579456.

The previous prime is 70675673. The next prime is 70675721. The reversal of 70675680 is 8657607.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34032 + ... + 36048.

It is an arithmetic number, because the mean of its divisors is an integer number (2351979).

Almost surely, 270675680 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 70675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112894992).

70675680 is an abundant number, since it is smaller than the sum of its proper divisors (155114304).

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

70675680 is a wasteful number, since it uses less digits than its factorization.

70675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 70675680 is about 8406.8828943908. The cubic root of 70675680 is about 413.4503195281.

The spelling of 70675680 in words is "seventy million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2017 2190 2336 2920 3504 4034 4380 5840 6051 7008 8068 8760 10085 11680 12102 16136 17520 20170 24204 30255 32272 35040 40340 48408 60510 64544 80680 96816 121020 147241 161360 193632 242040 294482 322720 441723 484080 588964 736205 883446 968160 1177928 1472410 1766892 2208615 2355856 2944820 3533784 4417230 4711712 5889640 7067568 8834460 11779280 14135136 17668920 23558560 35337840 70675680