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70297128 = 23321128069
BaseRepresentation
bin1000011000010…
…10011000101000
311220021110112100
410030022120220
5120444002003
610550413400
71512341616
oct414123050
9156243470
1070297128
1136754300
121b661260
1311743b45
14949c6b6
156288ba3
hex430a628

70297128 has 72 divisors (see below), whose sum is σ = 209295450. Its totient is φ = 21299520.

The previous prime is 70297127. The next prime is 70297141. The reversal of 70297128 is 82179207.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 39204 = 8382^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 70297092 and 70297101.

It is not an unprimeable number, because it can be changed into a prime (70297121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4678 + ... + 12746.

Almost surely, 270297128 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 70297128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104647725).

70297128 is an abundant number, since it is smaller than the sum of its proper divisors (138998322).

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

70297128 is a wasteful number, since it uses less digits than its factorization.

70297128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 70297128 is about 8384.3382565352. The cubic root of 70297128 is about 412.7108255637.

The spelling of 70297128 in words is "seventy million, two hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8069 8712 16138 24207 32276 48414 64552 72621 88759 96828 145242 177518 193656 266277 290484 355036 532554 580968 710072 798831 976349 1065108 1597662 1952698 2130216 2929047 3195324 3905396 5858094 6390648 7810792 8787141 11716188 17574282 23432376 35148564 70297128