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1068290472 = 2331753127389
BaseRepresentation
bin111111101011001…
…101000110101000
32202110011210000210
4333223031012220
54141440243342
6254001101120
735321214324
oct7753150650
92673153023
101068290472
114a9027497
122599277a0
1314042a852
14a1c46984
1563bc079c
hex3facd1a8

1068290472 has 128 divisors (see below), whose sum is σ = 2911334400. Its totient is φ = 325398528.

The previous prime is 1068290441. The next prime is 1068290479. The reversal of 1068290472 is 2740928601.

It is a super-2 number, since 2×10682904722 = 2282489065131965568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068290472.

It is not an unprimeable number, because it can be changed into a prime (1068290479) 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 31 ways as a sum of consecutive naturals, for example, 2746054 + ... + 2746442.

It is an arithmetic number, because the mean of its divisors is an integer number (22744800).

Almost surely, 21068290472 is an apocalyptic number.

1068290472 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 1068290472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455667200).

1068290472 is an abundant number, since it is smaller than the sum of its proper divisors (1843043928).

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

1068290472 is a wasteful number, since it uses less digits than its factorization.

1068290472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1068290472 is about 32684.7131240279. The cubic root of 1068290472 is about 1022.2641208794.

The spelling of 1068290472 in words is "one billion, sixty-eight million, two hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 127 136 159 204 212 254 318 381 389 408 424 508 636 762 778 901 1016 1167 1272 1524 1556 1802 2159 2334 2703 3048 3112 3604 4318 4668 5406 6477 6613 6731 7208 8636 9336 10812 12954 13226 13462 17272 19839 20193 20617 21624 25908 26452 26924 39678 40386 41234 49403 51816 52904 53848 61851 79356 80772 82468 98806 114427 123702 148209 158712 161544 164936 197612 228854 247404 296418 343281 350489 395224 457708 494808 592836 686562 700978 839851 915416 1051467 1185672 1373124 1401956 1679702 2102934 2519553 2618359 2746248 2803912 3359404 4205868 5039106 5236718 6718808 7855077 8411736 10078212 10473436 15710154 20156424 20946872 31420308 44512103 62840616 89024206 133536309 178048412 267072618 356096824 534145236 1068290472