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1068648420 = 223574995099
BaseRepresentation
bin111111101100100…
…100011111100100
32202110211222001010
4333230210133210
54142033222140
6254012502220
735324235030
oct7754443744
92673758033
101068648420
114a9251414
12259a7a970
13140524758
14a1cdb1c0
1563c41880
hex3fb247e4

1068648420 has 96 divisors (see below), whose sum is σ = 3427200000. Its totient is φ = 243725184.

The previous prime is 1068648419. The next prime is 1068648431. The reversal of 1068648420 is 248468601.

It is a super-2 number, since 2×10686484202 = 2284018891136992800, which contains 22 as substring.

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, 207031 + ... + 212129.

It is an arithmetic number, because the mean of its divisors is an integer number (35700000).

Almost surely, 21068648420 is an apocalyptic number.

1068648420 is a gapful number since it is divisible by the number (10) 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 1068648420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600000).

1068648420 is an abundant number, since it is smaller than the sum of its proper divisors (2358551580).

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

1068648420 is a wasteful number, since it uses less digits than its factorization.

1068648420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1068648420 is about 32690.1884362877. The cubic root of 1068648420 is about 1022.3782835053.

The spelling of 1068648420 in words is "one billion, sixty-eight million, six hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 499 998 1497 1996 2495 2994 3493 4990 5099 5988 6986 7485 9980 10198 10479 13972 14970 15297 17465 20396 20958 25495 29940 30594 34930 35693 41916 50990 52395 61188 69860 71386 76485 101980 104790 107079 142772 152970 178465 209580 214158 305940 356930 428316 535395 713860 1070790 2141580 2544401 5088802 7633203 10177604 12722005 15266406 17810807 25444010 30532812 35621614 38166015 50888020 53432421 71243228 76332030 89054035 106864842 152664060 178108070 213729684 267162105 356216140 534324210 1068648420