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1072379880 = 23325111337563
BaseRepresentation
bin111111111010110…
…011011111101000
32202201212112122100
4333322303133220
54144012124010
6254224453400
735401035645
oct7772633750
92681775570
101072379880
1150036a970
1225b17a260
13141230010
14a25ccdcc
156422c2c0
hex3feb37e8

1072379880 has 384 divisors, whose sum is σ = 4212673920. Its totient is φ = 233072640.

The previous prime is 1072379863. The next prime is 1072379909. The reversal of 1072379880 is 889732701.

It is a super-2 number, since 2×10723798802 = 2299997214057628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1904479 + ... + 1905041.

It is an arithmetic number, because the mean of its divisors is an integer number (10970505).

Almost surely, 21072379880 is an apocalyptic number.

1072379880 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 1072379880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106336960).

1072379880 is an abundant number, since it is smaller than the sum of its proper divisors (3140294040).

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

1072379880 is a wasteful number, since it uses less digits than its factorization.

1072379880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1072379880 is about 32747.2117897081. The cubic root of 1072379880 is about 1023.5668664804.

The spelling of 1072379880 in words is "one billion, seventy-two million, three hundred seventy-nine thousand, eight hundred eighty".