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70258968 = 233313131191
BaseRepresentation
bin1000011000000…
…01000100011000
311220012112012000
410030001010120
5120441241333
610545521000
71512122433
oct414010430
9156175160
1070258968
113672866a
121b643160
131172c670
14948c81a
15627c713
hex4301118

70258968 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 21340800.

The previous prime is 70258963. The next prime is 70258987. The reversal of 70258968 is 86985207.

70258968 is a `hidden beast` number, since 7 + 0 + 2 + 589 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70258961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367753 + ... + 367943.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 270258968 is an apocalyptic number.

70258968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70258968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

70258968 is an abundant number, since it is smaller than the sum of its proper divisors (142630632).

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

70258968 is a wasteful number, since it uses less digits than its factorization.

70258968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 70258968 is about 8382.0622760750. The cubic root of 70258968 is about 412.6361335805.

The spelling of 70258968 in words is "seventy million, two hundred fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 131 156 191 216 234 262 312 351 382 393 468 524 573 702 764 786 936 1048 1146 1179 1404 1528 1572 1703 1719 2292 2358 2483 2808 3144 3406 3438 3537 4584 4716 4966 5109 5157 6812 6876 7074 7449 9432 9932 10218 10314 13624 13752 14148 14898 15327 19864 20436 20628 22347 25021 28296 29796 30654 40872 41256 44694 45981 50042 59592 61308 67041 75063 89388 91962 100084 122616 134082 150126 178776 183924 200168 225189 268164 300252 325273 367848 450378 536328 600504 650546 675567 900756 975819 1301092 1351134 1801512 1951638 2602184 2702268 2927457 3903276 5404536 5854914 7806552 8782371 11709828 17564742 23419656 35129484 70258968