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70405160 = 23572172113
BaseRepresentation
bin1000011001001…
…00110000101000
311220110221201112
410030210300220
5121010431120
610553005452
71513301600
oct414446050
9156427645
1070405160
1136818491
121b6b3888
1311781077
1494c9c00
1562aabc5
hex4324c28

70405160 has 96 divisors (see below), whose sum is σ = 195206760. Its totient is φ = 22708224.

The previous prime is 70405157. The next prime is 70405189. The reversal of 70405160 is 6150407.

It can be written as a sum of positive squares in 4 ways, for example, as 41654116 + 28751044 = 6454^2 + 5362^2 .

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, 32264 + ... + 34376.

Almost surely, 270405160 is an apocalyptic number.

70405160 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 70405160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97603380).

70405160 is an abundant number, since it is smaller than the sum of its proper divisors (124801600).

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

70405160 is a wasteful number, since it uses less digits than its factorization.

70405160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 70405160 is about 8390.7782714120. The cubic root of 70405160 is about 412.9221341281.

Adding to 70405160 its reverse (6150407), we get a palindrome (76555567).

The spelling of 70405160 in words is "seventy million, four hundred five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2113 2380 3332 4165 4226 4760 6664 8330 8452 10565 14791 16660 16904 21130 29582 33320 35921 42260 59164 71842 73955 84520 103537 118328 143684 147910 179605 207074 251447 287368 295820 359210 414148 502894 517685 591640 718420 828296 1005788 1035370 1257235 1436840 1760129 2011576 2070740 2514470 3520258 4141480 5028940 7040516 8800645 10057880 14081032 17601290 35202580 70405160