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70842128 = 24717291283
BaseRepresentation
bin1000011100011…
…11011100010000
311221022011010112
410032033130100
5121113422003
611010220452
71520101550
oct416173420
9157264115
1070842128
1136a96815
121b884728
13118a4c26
1495a1160
1563453d8
hex438f710

70842128 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 27568128.

The previous prime is 70842119. The next prime is 70842197. The reversal of 70842128 is 82124807.

It is a junction number, because it is equal to n+sod(n) for n = 70842094 and 70842103.

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, 54575 + ... + 55857.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 270842128 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 70842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

70842128 is an abundant number, since it is smaller than the sum of its proper divisors (101111152).

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

70842128 is a wasteful number, since it uses less digits than its factorization.

70842128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 70842128 is about 8416.7765801404. The cubic root of 70842128 is about 413.7746367710.

The spelling of 70842128 in words is "seventy million, eight hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1283 1624 1904 1972 2566 3248 3451 3944 5132 6902 7888 8981 10264 13804 17962 20528 21811 27608 35924 37207 43622 55216 71848 74414 87244 143696 148828 152677 174488 260449 297656 305354 348976 520898 595312 610708 632519 1041796 1221416 1265038 2083592 2442832 2530076 4167184 4427633 5060152 8855266 10120304 17710532 35421064 70842128