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705714152 = 2311132326821
BaseRepresentation
bin101010000100000…
…101011111101000
31211011220222211012
4222010011133220
52421130323102
6154005523052
723326320443
oct5204053750
91734828735
10705714152
113323a2540
12178413488
13b3290250
1469a2465a
1541e50752
hex2a1057e8

705714152 has 64 divisors (see below), whose sum is σ = 1622194560. Its totient is φ = 283219200.

The previous prime is 705714137. The next prime is 705714157. The reversal of 705714152 is 251417507.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (705714157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12902 + ... + 39722.

It is an arithmetic number, because the mean of its divisors is an integer number (25346790).

Almost surely, 2705714152 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 705714152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811097280).

705714152 is an abundant number, since it is smaller than the sum of its proper divisors (916480408).

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

705714152 is a wasteful number, since it uses less digits than its factorization.

705714152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26874 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 705714152 is about 26565.2809508953. The cubic root of 705714152 is about 890.3134661500.

The spelling of 705714152 in words is "seven hundred five million, seven hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 6578 13156 26312 26821 53642 107284 214568 295031 348673 590062 616883 697346 1180124 1233766 1394692 2360248 2467532 2789384 3835403 4935064 6785713 7670806 8019479 13571426 15341612 16038958 27142852 30683224 32077916 54285704 64155832 88214269 176428538 352857076 705714152