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1068115968 = 21132167347
BaseRepresentation
bin111111101010100…
…010100000000000
32202102211220122200
4333222202200000
54141414202333
6253553233200
735316556503
oct7752424000
92672756580
101068115968
114a8a18377
12259862800
131403992aa
14a1bdd13a
1563b88c13
hex3faa2800

1068115968 has 144 divisors (see below), whose sum is σ = 3112331040. Its totient is φ = 352886784.

The previous prime is 1068115957. The next prime is 1068115981. The reversal of 1068115968 is 8695118601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10681159682 = 2281743442193154048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3077971 + ... + 3078317.

It is an arithmetic number, because the mean of its divisors is an integer number (21613410).

Almost surely, 21068115968 is an apocalyptic number.

1068115968 is a gapful number since it is divisible by the number (18) 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 1068115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556165520).

1068115968 is an abundant number, since it is smaller than the sum of its proper divisors (2044215072).

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

1068115968 is a wasteful number, since it uses less digits than its factorization.

1068115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1068115968 is about 32682.0435101601. The cubic root of 1068115968 is about 1022.2084559653.

The spelling of 1068115968 in words is "one billion, sixty-eight million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 347 384 501 512 576 668 694 768 1002 1024 1041 1152 1336 1388 1503 1536 2004 2048 2082 2304 2672 2776 3006 3072 3123 4008 4164 4608 5344 5552 6012 6144 6246 8016 8328 9216 10688 11104 12024 12492 16032 16656 18432 21376 22208 24048 24984 32064 33312 42752 44416 48096 49968 57949 64128 66624 85504 88832 96192 99936 115898 128256 133248 171008 173847 177664 192384 199872 231796 256512 266496 342016 347694 355328 384768 399744 463592 513024 521541 532992 695388 710656 769536 799488 927184 1026048 1043082 1065984 1390776 1539072 1598976 1854368 2086164 2131968 2781552 3078144 3197952 3708736 4172328 5563104 6395904 7417472 8344656 11126208 14834944 16689312 22252416 29669888 33378624 44504832 59339776 66757248 89009664 118679552 133514496 178019328 267028992 356038656 534057984 1068115968