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70328160 = 2532576977
BaseRepresentation
bin1000011000100…
…01111101100000
311220100001002200
410030101331200
5121001000120
610551213200
71512531240
oct414217540
9156301080
1070328160
1136775651
121b677200
1311754cc6
1494a9b20
156292e90
hex4311f60

70328160 has 144 divisors (see below), whose sum is σ = 274319136. Its totient is φ = 16072704.

The previous prime is 70328147. The next prime is 70328171. The reversal of 70328160 is 6182307.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 6592 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (1904994).

Almost surely, 270328160 is an apocalyptic number.

70328160 is a gapful number since it is divisible by the number (70) 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 70328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137159568).

70328160 is an abundant number, since it is smaller than the sum of its proper divisors (203990976).

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

70328160 is a wasteful number, since it uses less digits than its factorization.

70328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6994 counting only the distinct ones).

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

The square root of 70328160 is about 8386.1886456244. The cubic root of 70328160 is about 412.7715457221.

The spelling of 70328160 in words is "seventy million, three hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 6977 10080 13954 20931 27908 34885 41862 48839 55816 62793 69770 83724 97678 104655 111632 125586 139540 146517 167448 195356 209310 223264 244195 251172 279080 293034 313965 334896 390712 418620 439551 488390 502344 558160 586068 627930 669792 732585 781424 837240 879102 976780 1004688 1116320 1172136 1255860 1465170 1562848 1674480 1758204 1953560 2009376 2197755 2344272 2511720 2930340 3348960 3516408 3907120 4395510 4688544 5023440 5860680 7032816 7814240 8791020 10046880 11721360 14065632 17582040 23442720 35164080 70328160