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70093128 = 23372193137
BaseRepresentation
bin1000010110110…
…00100101001000
311212220002200210
410023120211020
5120420440003
610542201120
71510532100
oct413304510
9155802623
1070093128
1136625006
121b5831a0
13116a2031
149448200
156248503
hex42d8948

70093128 has 96 divisors (see below), whose sum is σ = 214639200. Its totient is φ = 18966528.

The previous prime is 70093123. The next prime is 70093151. The reversal of 70093128 is 82139007.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 70093095 and 70093104.

It is not an unprimeable number, because it can be changed into a prime (70093123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20776 + ... + 23912.

It is an arithmetic number, because the mean of its divisors is an integer number (2235825).

Almost surely, 270093128 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 70093128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107319600).

70093128 is an abundant number, since it is smaller than the sum of its proper divisors (144546072).

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

70093128 is a wasteful number, since it uses less digits than its factorization.

70093128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 70093128 is about 8372.1638779947. The cubic root of 70093128 is about 412.3112142558.

The spelling of 70093128 in words is "seventy million, ninety-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3137 3192 3724 5586 6274 7448 9411 11172 12548 18822 21959 22344 25096 37644 43918 59603 65877 75288 87836 119206 131754 153713 175672 178809 238412 263508 307426 357618 417221 461139 476824 527016 614852 715236 834442 922278 1229704 1251663 1430472 1668884 1844556 2503326 2920547 3337768 3689112 5006652 5841094 8761641 10013304 11682188 17523282 23364376 35046564 70093128