Search a number
-
+
1052944520 = 235373132273
BaseRepresentation
bin111110110000101…
…010100010001000
32201101022010100012
4332300222202020
54124023211040
6252252131052
735043611045
oct7660524210
92641263305
101052944520
114a03a5891
12254766a88
1313a1b68c4
149dbb01cc
156268d865
hex3ec2a888

1052944520 has 64 divisors (see below), whose sum is σ = 2442003120. Its totient is φ = 408305664.

The previous prime is 1052944511. The next prime is 1052944523. The reversal of 1052944520 is 254492501.

It can be written as a sum of positive squares in 8 ways, for example, as 555922084 + 497022436 = 23578^2 + 22294^2 .

It is a super-2 number, since 2×10529445202 = 2217384324396060800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052944523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462104 + ... + 464376.

Almost surely, 21052944520 is an apocalyptic number.

1052944520 is a gapful number since it is divisible by the number (10) 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 1052944520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221001560).

1052944520 is an abundant number, since it is smaller than the sum of its proper divisors (1389058600).

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

1052944520 is a wasteful number, since it uses less digits than its factorization.

1052944520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1052944520 is about 32449.1066132798. The cubic root of 1052944520 is about 1017.3455651250.

The spelling of 1052944520 in words is "one billion, fifty-two million, nine hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 313 370 626 740 1252 1480 1565 2273 2504 3130 4546 6260 9092 11365 11581 12520 18184 22730 23162 45460 46324 57905 84101 90920 92648 115810 168202 231620 336404 420505 463240 672808 711449 841010 1422898 1682020 2845796 3364040 3557245 5691592 7114490 14228980 26323613 28457960 52647226 105294452 131618065 210588904 263236130 526472260 1052944520