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1075456480 = 2557960229
BaseRepresentation
bin100000000011010…
…0010100111100000
32202221122211221111
41000012202213200
54200304101410
6254414433104
735436141430
oct10006424740
92687584844
101075456480
1150208140a
12260202794
13141a694a7
14a2b902c0
1564638b8a
hex401a29e0

1075456480 has 48 divisors (see below), whose sum is σ = 2903735520. Its totient is φ = 368727552.

The previous prime is 1075456477. The next prime is 1075456489. The reversal of 1075456480 is 846545701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075456489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478995 + ... + 481234.

It is an arithmetic number, because the mean of its divisors is an integer number (60494490).

Almost surely, 21075456480 is an apocalyptic number.

1075456480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075456480 is an abundant number, since it is smaller than the sum of its proper divisors (1828279040).

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

1075456480 is an equidigital number, since it uses as much as digits as its factorization.

1075456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960251 (or 960243 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 1075456480 is about 32794.1531374116. The cubic root of 1075456480 is about 1024.5447845773.

The spelling of 1075456480 in words is "one billion, seventy-five million, four hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 960229 1920458 3840916 4801145 6721603 7681832 9602290 13443206 15363664 19204580 26886412 30727328 33608015 38409160 53772824 67216030 76818320 107545648 134432060 153636640 215091296 268864120 537728240 1075456480