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70871328 = 2533117457
BaseRepresentation
bin1000011100101…
…10100100100000
311221100122012000
410032112210200
5121120340303
611011004000
71520252643
oct416264440
9157318160
1070871328
1137006750
121b899600
13118b52c8
1495aba5a
15634dda3
hex4396920

70871328 has 96 divisors (see below), whose sum is σ = 225529920. Its totient is φ = 21473280.

The previous prime is 70871321. The next prime is 70871357. The reversal of 70871328 is 82317807.

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

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 = 70871292 and 70871301.

It is not an unprimeable number, because it can be changed into a prime (70871321) 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, 5776 + ... + 13232.

It is an arithmetic number, because the mean of its divisors is an integer number (2349270).

Almost surely, 270871328 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 70871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112764960).

70871328 is an abundant number, since it is smaller than the sum of its proper divisors (154658592).

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

70871328 is a wasteful number, since it uses less digits than its factorization.

70871328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 70871328 is about 8418.5110322432. The cubic root of 70871328 is about 413.8314794063.

The spelling of 70871328 in words is "seventy million, eight hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 7457 9504 14914 22371 29828 44742 59656 67113 82027 89484 119312 134226 164054 178968 201339 238624 246081 268452 328108 357936 402678 492162 536904 656216 715872 738243 805356 984324 1073808 1312432 1476486 1610712 1968648 2147616 2214729 2624864 2952972 3221424 3937296 4429458 5905944 6442848 7874592 8858916 11811888 17717832 23623776 35435664 70871328