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70379280 = 2434510861
BaseRepresentation
bin1000011000111…
…10011100010000
311220102122020000
410030132130100
5121004114110
610552250000
71513133256
oct414363420
9156378200
1070379280
11367aaaa4
121b6a0900
131177235a
1494c05d6
1562a31c0
hex431e710

70379280 has 100 divisors (see below), whose sum is σ = 244460172. Its totient is φ = 18766080.

The previous prime is 70379263. The next prime is 70379321. The reversal of 70379280 is 8297307.

70379280 is a `hidden beast` number, since 7 + 0 + 379 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 43877376 = 5148^2 + 6624^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 1050 + ... + 11910.

Almost surely, 270379280 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 70379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122230086).

70379280 is an abundant number, since it is smaller than the sum of its proper divisors (174080892).

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

70379280 is a wasteful number, since it uses less digits than its factorization.

70379280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 70379280 is about 8389.2359604436. The cubic root of 70379280 is about 412.8715330335.

The spelling of 70379280 in words is "seventy million, three hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 10861 21722 32583 43444 54305 65166 86888 97749 108610 130332 162915 173776 195498 217220 260664 293247 325830 390996 434440 488745 521328 586494 651660 781992 868880 879741 977490 1172988 1303320 1466235 1563984 1759482 1954980 2345976 2606640 2932470 3518964 3909960 4398705 4691952 5864940 7037928 7819920 8797410 11729880 14075856 17594820 23459760 35189640 70379280