Search a number
-
+
1061157816 = 2332178111069
BaseRepresentation
bin111111001111111…
…111101110111000
32201221202101212100
4333033333232320
54133124022231
6253144143400
735203456365
oct7717775670
92657671770
101061157816
114a4aa5634
12257467b60
1313bb01144
14a0d0b46c
15632621e6
hex3f3ffbb8

1061157816 has 96 divisors (see below), whose sum is σ = 3049628400. Its totient is φ = 332190720.

The previous prime is 1061157793. The next prime is 1061157829. The reversal of 1061157816 is 6187511601.

1061157816 is a `hidden beast` number, since 10 + 61 + 1 + 578 + 16 = 666.

It is a super-2 number, since 2×10611578162 = 2252111820915779712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992130 + ... + 993198.

Almost surely, 21061157816 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 1061157816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524814200).

1061157816 is an abundant number, since it is smaller than the sum of its proper divisors (1988470584).

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

1061157816 is a wasteful number, since it uses less digits than its factorization.

1061157816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1061157816 is about 32575.4173572650. The cubic root of 1061157816 is about 1019.9839213152.

The spelling of 1061157816 in words is "one billion, sixty-one million, one hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 811 1069 1224 1622 2138 2433 3207 3244 4276 4866 6414 6488 7299 8552 9621 9732 12828 13787 14598 18173 19242 19464 25656 27574 29196 36346 38484 41361 54519 55148 58392 72692 76968 82722 109038 110296 124083 145384 163557 165444 218076 248166 327114 330888 436152 496332 654228 866959 992664 1308456 1733918 2600877 3467836 5201754 6935672 7802631 10403508 14738303 15605262 20807016 29476606 31210524 44214909 58953212 62421048 88429818 117906424 132644727 176859636 265289454 353719272 530578908 1061157816