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1068553632 = 253173121121
BaseRepresentation
bin111111101100001…
…101010110100000
32202110200011000110
4333230031112200
54142022204012
6254010451320
735323361466
oct7754152640
92673604013
101068553632
114a9197183
12259a33b40
131404c0573
14a1cb4836
1563c2373c
hex3fb0d5a0

1068553632 has 96 divisors (see below), whose sum is σ = 3065900544. Its totient is φ = 324403200.

The previous prime is 1068553631. The next prime is 1068553697. The reversal of 1068553632 is 2363558601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10685536322 = 2283613728920782848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068553631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40032 + ... + 61152.

It is an arithmetic number, because the mean of its divisors is an integer number (31936464).

Almost surely, 21068553632 is an apocalyptic number.

1068553632 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 1068553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532950272).

1068553632 is an abundant number, since it is smaller than the sum of its proper divisors (1997346912).

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

1068553632 is a wasteful number, since it uses less digits than its factorization.

1068553632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21182 (or 21174 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 1068553632 is about 32688.7386113322. The cubic root of 1068553632 is about 1022.3480546491.

The spelling of 1068553632 in words is "one billion, sixty-eight million, five hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 12648 16864 21121 25296 42242 50592 63363 84484 126726 168968 253452 337936 359057 506904 654751 675872 718114 1013808 1077171 1309502 1436228 1964253 2027616 2154342 2619004 2872456 3928506 4308684 5238008 5744912 7857012 8617368 10476016 11130767 11489824 15714024 17234736 20952032 22261534 31428048 33392301 34469472 44523068 62856096 66784602 89046136 133569204 178092272 267138408 356184544 534276816 1068553632