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1072289712 = 243137124203
BaseRepresentation
bin111111111010011…
…101011110110000
32202201200221221210
4333322131132300
54144001232322
6254222520120
735400212034
oct7772353660
92681627853
101072289712
1150030914a
1225b136040
131411cac70
14a25a81c4
156421070c
hex3fe9d7b0

1072289712 has 80 divisors (see below), whose sum is σ = 3025306368. Its totient is φ = 325274880.

The previous prime is 1072289689. The next prime is 1072289717. The reversal of 1072289712 is 2179822701.

It is a super-2 number, since 2×10722897122 = 2299610452922085888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1072289717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32203 + ... + 56405.

Almost surely, 21072289712 is an apocalyptic number.

1072289712 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 1072289712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512653184).

1072289712 is an abundant number, since it is smaller than the sum of its proper divisors (1953016656).

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

1072289712 is a wasteful number, since it uses less digits than its factorization.

1072289712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24298 (or 24292 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 1072289712 is about 32745.8350328710. The cubic root of 1072289712 is about 1023.5381777773.

The spelling of 1072289712 in words is "one billion, seventy-two million, two hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 14768 22152 24203 44304 48406 72609 96812 145218 193624 290436 314639 387248 580872 629278 943917 1161744 1258556 1718413 1887834 2517112 3436826 3775668 5034224 5155239 6873652 7551336 10310478 13747304 15102672 20620956 22339369 27494608 41241912 44678738 67018107 82483824 89357476 134036214 178714952 268072428 357429904 536144856 1072289712