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70213728 = 25313127443
BaseRepresentation
bin1000010111101…
…10000001100000
311220010020010110
410023312001200
5120433314403
610544531320
71511543514
oct413660140
9156106113
1070213728
11366a7682
121b620b40
1311714bb0
14947a144
15626e103
hex42f6060

70213728 has 96 divisors (see below), whose sum is σ = 200503296. Its totient is φ = 21385728.

The previous prime is 70213691. The next prime is 70213739. The reversal of 70213728 is 82731207.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 70213695 and 70213704.

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, 158275 + ... + 158717.

It is an arithmetic number, because the mean of its divisors is an integer number (2088576).

Almost surely, 270213728 is an apocalyptic number.

70213728 is a gapful number since it is divisible by the number (78) 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 70213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100251648).

70213728 is an abundant number, since it is smaller than the sum of its proper divisors (130289568).

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

70213728 is a wasteful number, since it uses less digits than its factorization.

70213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 70213728 is about 8379.3632216297. The cubic root of 70213728 is about 412.5475486052.

The spelling of 70213728 in words is "seventy million, two hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 443 508 624 762 886 1016 1248 1329 1524 1651 1772 2032 2658 3048 3302 3544 4064 4953 5316 5759 6096 6604 7088 9906 10632 11518 12192 13208 14176 17277 19812 21264 23036 26416 34554 39624 42528 46072 52832 56261 69108 79248 92144 112522 138216 158496 168783 184288 225044 276432 337566 450088 552864 675132 731393 900176 1350264 1462786 1800352 2194179 2700528 2925572 4388358 5401056 5851144 8776716 11702288 17553432 23404576 35106864 70213728