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1068141630 = 235298291481
BaseRepresentation
bin111111101010101…
…000110000111110
32202102220012212010
4333222220300332
54141421013010
6253553552050
735320024353
oct7752506076
92672805763
101068141630
114a8a35686
12259875626
131403a7b8a
14a1c0862a
1563b91620
hex3faa8c3e

1068141630 has 64 divisors (see below), whose sum is σ = 2656929600. Its totient is φ = 274498560.

The previous prime is 1068141623. The next prime is 1068141647. The reversal of 1068141630 is 361418601.

It is a super-2 number, since 2×10681416302 = 2281853083478113800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720490 + ... + 721970.

It is an arithmetic number, because the mean of its divisors is an integer number (41514525).

Almost surely, 21068141630 is an apocalyptic number.

1068141630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068141630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328464800).

1068141630 is an abundant number, since it is smaller than the sum of its proper divisors (1588787970).

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

1068141630 is a wasteful number, since it uses less digits than its factorization.

1068141630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1068141630 is about 32682.4361087114. The cubic root of 1068141630 is about 1022.2166422497.

The spelling of 1068141630 in words is "one billion, sixty-eight million, one hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 829 870 1481 1658 2487 2962 4145 4443 4974 7405 8290 8886 12435 14810 22215 24041 24870 42949 44430 48082 72123 85898 120205 128847 144246 214745 240410 257694 360615 429490 644235 721230 1227749 1288470 2455498 3683247 6138745 7366494 12277490 18416235 35604721 36832470 71209442 106814163 178023605 213628326 356047210 534070815 1068141630