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1068349360 = 245131760427
BaseRepresentation
bin111111101011011…
…011011110110000
32202110021202210211
4333223123132300
54141444134420
6254002233504
735321551111
oct7753333660
92673252724
101068349360
114a9067761
12259955894
1314044b5b0
14a1c60208
1563bd2e5a
hex3fadb7b0

1068349360 has 80 divisors (see below), whose sum is σ = 2832381216. Its totient is φ = 371257344.

The previous prime is 1068349351. The next prime is 1068349369. The reversal of 1068349360 is 639438601.

It is an interprime number because it is at equal distance from previous prime (1068349351) and next prime (1068349369).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10683493602 = 2282740710024819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1068349369) 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, 12534 + ... + 47893.

Almost surely, 21068349360 is an apocalyptic number.

1068349360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068349360 is an abundant number, since it is smaller than the sum of its proper divisors (1764031856).

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

1068349360 is a wasteful number, since it uses less digits than its factorization.

1068349360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60470 (or 60464 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1068349360 is about 32685.6139608850. The cubic root of 1068349360 is about 1022.2829041552.

The spelling of 1068349360 in words is "one billion, sixty-eight million, three hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 60427 120854 241708 302135 483416 604270 785551 966832 1027259 1208540 1571102 2054518 2417080 3142204 3927755 4109036 4834160 5136295 6284408 7855510 8218072 10272590 12568816 13354367 15711020 16436144 20545180 26708734 31422040 41090360 53417468 62844080 66771835 82180720 106834936 133543670 213669872 267087340 534174680 1068349360