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1027439072 = 251122383139
BaseRepresentation
bin111101001111010…
…111100111100000
32122121022022102222
4331033113213200
54101011022242
6245541330212
734314042122
oct7517274740
92577268388
101027439072
11487a65200
12248106968
13134b2661a
149a651212
15603015d2
hex3d3d79e0

1027439072 has 144 divisors (see below), whose sum is σ = 2364888960. Its totient is φ = 438155520.

The previous prime is 1027439071. The next prime is 1027439093. The reversal of 1027439072 is 2709347201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027439071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7391579 + ... + 7391717.

It is an arithmetic number, because the mean of its divisors is an integer number (16422840).

Almost surely, 21027439072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182444480).

1027439072 is an abundant number, since it is smaller than the sum of its proper divisors (1337449888).

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

1027439072 is a wasteful number, since it uses less digits than its factorization.

1027439072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 1027439072 is about 32053.6904583544. The cubic root of 1027439072 is about 1009.0639538567.

The spelling of 1027439072 in words is "one billion, twenty-seven million, four hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 83 88 92 121 139 166 176 184 242 253 278 332 352 368 484 506 556 664 736 913 968 1012 1112 1328 1529 1826 1909 1936 2024 2224 2656 2783 3058 3197 3652 3818 3872 4048 4448 5566 6116 6394 7304 7636 8096 10043 11132 11537 12232 12788 14608 15272 16819 20086 20999 22264 23074 24464 25576 29216 30544 33638 35167 40172 41998 44528 46148 48928 51152 61088 67276 70334 80344 83996 89056 92296 102304 126907 134552 140668 160688 167992 184592 230989 253814 265351 269104 281336 321376 335984 369184 386837 461978 507628 530702 538208 562672 671968 773674 923956 1015256 1061404 1125344 1395977 1547348 1847912 2030512 2122808 2791954 2918861 3094696 3695824 4061024 4245616 5583908 5837722 6189392 7391648 8491232 11167816 11675444 12378784 22335632 23350888 32107471 44671264 46701776 64214942 93403552 128429884 256859768 513719536 1027439072