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1067688252 = 2232131226397
BaseRepresentation
bin111111101000111…
…010000100111100
32202102001011221100
4333220322010330
54141312011002
6253540133100
735313125511
oct7750720474
92672034840
101067688252
114a8755a94
12259697190
131402796c7
14a1b2b308
1563b0211c
hex3fa3a13c

1067688252 has 36 divisors (see below), whose sum is σ = 2719492776. Its totient is φ = 353177760.

The previous prime is 1067688241. The next prime is 1067688263. The reversal of 1067688252 is 2528867601.

It is an interprime number because it is at equal distance from previous prime (1067688241) and next prime (1067688263).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10676882522 = 2279916406917631008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067688198 and 1067688207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108483 + ... + 117914.

It is an arithmetic number, because the mean of its divisors is an integer number (75541466).

Almost surely, 21067688252 is an apocalyptic number.

1067688252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1067688252 is an abundant number, since it is smaller than the sum of its proper divisors (1651804524).

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

1067688252 is a wasteful number, since it uses less digits than its factorization.

1067688252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226538 (or 226533 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1067688252 is about 32675.4992616792. The cubic root of 1067688252 is about 1022.0719934782.

The spelling of 1067688252 in words is "one billion, sixty-seven million, six hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 226397 452794 679191 905588 1358382 2037573 2716764 4075146 8150292 29658007 59316014 88974021 118632028 177948042 266922063 355896084 533844126 1067688252