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1068753220 = 225401133261
BaseRepresentation
bin111111101100111…
…110000101000100
32202111001021210121
4333230332011010
54142100100340
6254015031324
735325152413
oct7754760504
92674037717
101068753220
114a9313127
12259b0b544
13140560372
14a1d2747a
1563c6294a
hex3fb3e144

1068753220 has 24 divisors (see below), whose sum is σ = 2249995608. Its totient is φ = 426432000.

The previous prime is 1068753157. The next prime is 1068753221. The reversal of 1068753220 is 223578601.

It is a happy number.

1068753220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 795578436 + 273174784 = 28206^2 + 16528^2 .

It is a super-2 number, since 2×10687532202 = 2284466890520736800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068753221) 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 7 ways as a sum of consecutive naturals, for example, 58611 + ... + 74650.

It is an arithmetic number, because the mean of its divisors is an integer number (93749817).

Almost surely, 21068753220 is an apocalyptic number.

1068753220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068753220 is an abundant number, since it is smaller than the sum of its proper divisors (1181242388).

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

1068753220 is a wasteful number, since it uses less digits than its factorization.

1068753220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133671 (or 133669 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1068753220 is about 32691.7913244288. The cubic root of 1068753220 is about 1022.4117032093.

The spelling of 1068753220 in words is "one billion, sixty-eight million, seven hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 133261 266522 533044 666305 1332610 2665220 53437661 106875322 213750644 267188305 534376610 1068753220