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1140291072 = 29321311889
BaseRepresentation
bin100001111110111…
…0111011000000000
32221110122210021200
41003331313120000
54313403303242
6305052221200
740154212524
oct10375673000
92843583250
101140291072
11535734618
12279a6a800
13152319b5b
14ab629d84
156a19404c
hex43f77600

1140291072 has 120 divisors (see below), whose sum is σ = 3317834520. Its totient is φ = 376995840.

The previous prime is 1140291059. The next prime is 1140291077. The reversal of 1140291072 is 2701920411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140291077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602704 + ... + 604592.

It is an arithmetic number, because the mean of its divisors is an integer number (27648621).

Almost surely, 21140291072 is an apocalyptic number.

1140291072 is a gapful number since it is divisible by the number (12) 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 1140291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658917260).

1140291072 is an abundant number, since it is smaller than the sum of its proper divisors (2177543448).

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

1140291072 is a wasteful number, since it uses less digits than its factorization.

1140291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1140291072 is about 33768.1961614771. The cubic root of 1140291072 is about 1044.7328276182.

The spelling of 1140291072 in words is "one billion, one hundred forty million, two hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 1048 1152 1179 1536 1572 1889 2096 2304 2358 3144 3778 4192 4608 4716 5667 6288 7556 8384 9432 11334 12576 15112 16768 17001 18864 22668 25152 30224 33536 34002 37728 45336 50304 60448 67072 68004 75456 90672 100608 120896 136008 150912 181344 201216 241792 247459 272016 301824 362688 483584 494918 544032 603648 725376 742377 967168 989836 1088064 1450752 1484754 1979672 2176128 2227131 2901504 2969508 3959344 4352256 4454262 5939016 7918688 8704512 8908524 11878032 15837376 17817048 23756064 31674752 35634096 47512128 63349504 71268192 95024256 126699008 142536384 190048512 285072768 380097024 570145536 1140291072