Search a number
-
+
70144768 = 28412163
BaseRepresentation
bin1000010111001…
…01001100000000
311212222201112101
410023211030000
5120424113033
610543240144
71511135461
oct413451400
9155881471
1070144768
113665a891
121b5a9054
13116bc6a5
14945cd68
15625897d
hex42e5300

70144768 has 54 divisors (see below), whose sum is σ = 144394292. Its totient is φ = 34007040.

The previous prime is 70144759. The next prime is 70144787. The reversal of 70144768 is 86744107.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430255 + ... + 430417.

Almost surely, 270144768 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 70144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72197146).

70144768 is an abundant number, since it is smaller than the sum of its proper divisors (74249524).

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

70144768 is an equidigital number, since it uses as much as digits as its factorization.

70144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 70144768 is about 8375.2473396312. The cubic root of 70144768 is about 412.4124439820.

The spelling of 70144768 in words is "seventy million, one hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 163 164 256 326 328 652 656 1304 1312 1681 2608 2624 3362 5216 5248 6683 6724 10432 10496 13366 13448 20864 26732 26896 41728 53464 53792 106928 107584 213856 215168 274003 427712 430336 548006 855424 1096012 1710848 2192024 4384048 8768096 17536192 35072384 70144768