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70856000 = 265317521
BaseRepresentation
bin1000011100100…
…10110101000000
311221022212011022
410032102311000
5121114343000
611010405012
71520160155
oct416226500
9157285138
1070856000
1136aa6186
121b890768
13118ab337
1495a622c
156349585
hex4392d40

70856000 has 112 divisors (see below), whose sum is σ = 186153552. Its totient is φ = 26624000.

The previous prime is 70855963. The next prime is 70856003. The reversal of 70856000 is 65807.

It can be written as a sum of positive squares in 8 ways, for example, as 20502784 + 50353216 = 4528^2 + 7096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70856003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135740 + ... + 136260.

Almost surely, 270856000 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 70856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93076776).

70856000 is an abundant number, since it is smaller than the sum of its proper divisors (115297552).

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

70856000 is a wasteful number, since it uses less digits than its factorization.

70856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 70856000 is about 8417.6006082494. The cubic root of 70856000 is about 413.8016428634.

The spelling of 70856000 in words is "seventy million, eight hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 521 544 680 800 850 1000 1042 1088 1360 1600 1700 2000 2084 2125 2605 2720 3400 4000 4168 4250 5210 5440 6800 8000 8336 8500 8857 10420 13025 13600 16672 17000 17714 20840 26050 27200 33344 34000 35428 41680 44285 52100 65125 68000 70856 83360 88570 104200 130250 136000 141712 166720 177140 208400 221425 260500 283424 354280 416800 442850 521000 566848 708560 833600 885700 1042000 1107125 1417120 1771400 2084000 2214250 2834240 3542800 4168000 4428500 7085600 8857000 14171200 17714000 35428000 70856000