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1390362272 = 25131747289
BaseRepresentation
bin101001011011111…
…0011111010100000
310120220012201110222
41102313303322200
510321413043042
6345544142212
746311612215
oct12267637240
93526181428
101390362272
11653906832
12329767968
13192085a90
14d2923b0c
15820de2d2
hex52df3ea0

1390362272 has 144 divisors (see below), whose sum is σ = 3224891880. Its totient is φ = 584466432.

The previous prime is 1390362271. The next prime is 1390362287. The reversal of 1390362272 is 2722630931.

It can be written as a sum of positive squares in 4 ways, for example, as 939054736 + 451307536 = 30644^2 + 21244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390362271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15622004 + ... + 15622092.

Almost surely, 21390362272 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 1390362272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612445940).

1390362272 is an abundant number, since it is smaller than the sum of its proper divisors (1834529608).

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

1390362272 is a wasteful number, since it uses less digits than its factorization.

1390362272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 1390362272 is about 37287.5618940150. The cubic root of 1390362272 is about 1116.1159765221.

The spelling of 1390362272 in words is "one billion, three hundred ninety million, three hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 68 89 94 104 136 178 188 208 221 272 356 376 416 442 544 611 712 752 799 884 1157 1222 1424 1504 1513 1598 1768 2209 2314 2444 2848 3026 3196 3536 4183 4418 4628 4888 6052 6392 7072 8366 8836 9256 9776 10387 12104 12784 16732 17672 18512 19552 19669 20774 24208 25568 28717 33464 35344 37024 37553 39338 41548 48416 54379 57434 66928 70688 71111 75106 78676 83096 108758 114868 133856 142222 150212 157352 166192 196601 217516 229736 284444 300424 314704 332384 393202 435032 459472 488189 568888 600848 629408 786404 870064 918944 924443 976378 1137776 1201696 1572808 1740128 1848886 1952756 2275552 2555813 3145616 3342217 3697772 3905512 5111626 6291232 6684434 7395544 7811024 10223252 13368868 14791088 15622048 20446504 26737736 29582176 40893008 43448821 53475472 81786016 86897642 106950944 173795284 347590568 695181136 1390362272