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1074571680 = 253571373337
BaseRepresentation
bin100000000001100…
…1010100110100000
32202212222220020010
41000003022212200
54200042243210
6254343444520
735425465020
oct10003124640
92685886203
101074571680
11501627676
1225ba56740
13141819840
14a29dda80
1564511920
hex400ca9a0

1074571680 has 384 divisors, whose sum is σ = 4235632128. Its totient is φ = 222953472.

The previous prime is 1074571679. The next prime is 1074571703. The reversal of 1074571680 is 861754701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3188472 + ... + 3188808.

It is an arithmetic number, because the mean of its divisors is an integer number (11030292).

Almost surely, 21074571680 is an apocalyptic number.

1074571680 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 1074571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117816064).

1074571680 is an abundant number, since it is smaller than the sum of its proper divisors (3161060448).

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

1074571680 is a wasteful number, since it uses less digits than its factorization.

1074571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 1074571680 is about 32780.6601519860. The cubic root of 1074571680 is about 1024.2637361855.

The spelling of 1074571680 in words is "one billion, seventy-four million, five hundred seventy-one thousand, six hundred eighty".