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1069792020 = 22325112931601
BaseRepresentation
bin111111110000111…
…011101100010100
32202120000001202200
4333300323230110
54142331321040
6254053204500
735340040113
oct7760735424
92676001680
101069792020
114a9962640
1225a330730
1314083513b
14a2117c7a
1563dba630
hex3fc3bb14

1069792020 has 288 divisors, whose sum is σ = 3786531840. Its totient is φ = 241920000.

The previous prime is 1069792013. The next prime is 1069792021. The reversal of 1069792020 is 202979601.

It is a super-2 number, since 2×10697920202 = 2288909932111360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069792021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1779720 + ... + 1780320.

It is an arithmetic number, because the mean of its divisors is an integer number (13147680).

Almost surely, 21069792020 is an apocalyptic number.

1069792020 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 1069792020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893265920).

1069792020 is an abundant number, since it is smaller than the sum of its proper divisors (2716739820).

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

1069792020 is a wasteful number, since it uses less digits than its factorization.

1069792020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1069792020 is about 32707.6752460336. The cubic root of 1069792020 is about 1022.7428483662.

The spelling of 1069792020 in words is "one billion, sixty-nine million, seven hundred ninety-two thousand, twenty".