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1071116352 = 26331733583
BaseRepresentation
bin111111110101111…
…111000001000000
32202122111100102000
4333311333001000
54143201210402
6254141424000
735354224125
oct7765770100
92678440360
101071116352
114aa687629
1225a86b000
13140ba9b77
14a238074c
156407cc1c
hex3fd7f040

1071116352 has 112 divisors (see below), whose sum is σ = 3167969280. Its totient is φ = 354875904.

The previous prime is 1071116351. The next prime is 1071116353. The reversal of 1071116352 is 2536111701.

1071116352 is a `hidden beast` number, since 10 + 7 + 1 + 11 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1071116351) and next prime (1071116353).

It is a super-2 number, since 2×10711163522 = 2294580479043575808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1071116351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 297153 + ... + 300735.

It is an arithmetic number, because the mean of its divisors is an integer number (28285440).

Almost surely, 21071116352 is an apocalyptic number.

1071116352 is a gapful number since it is divisible by the number (12) 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 1071116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583984640).

1071116352 is an abundant number, since it is smaller than the sum of its proper divisors (2096852928).

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

1071116352 is a wasteful number, since it uses less digits than its factorization.

1071116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1071116352 is about 32727.9139573545. The cubic root of 1071116352 is about 1023.1647037466.

The spelling of 1071116352 in words is "one billion, seventy-one million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 173 192 216 288 346 432 519 576 692 864 1038 1384 1557 1728 2076 2768 3114 3583 4152 4671 5536 6228 7166 8304 9342 10749 11072 12456 14332 16608 18684 21498 24912 28664 32247 33216 37368 42996 49824 57328 64494 74736 85992 96741 99648 114656 128988 149472 171984 193482 229312 257976 298944 343968 386964 515952 619859 687936 773928 1031904 1239718 1547856 1859577 2063808 2479436 3095712 3719154 4958872 5578731 6191424 7438308 9917744 11157462 14876616 16736193 19835488 22314924 29753232 33472386 39670976 44629848 59506464 66944772 89259696 119012928 133889544 178519392 267779088 357038784 535558176 1071116352