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1085650752 = 263311791019
BaseRepresentation
bin100000010110101…
…1011011101000000
32210122211202212010
41000231123131000
54210411311002
6255421132520
735621610354
oct10055333500
92718752763
101085650752
1150790452a
122636ba140
13143bc85c4
14a4285464
156549e46c
hex40b5b740

1085650752 has 112 divisors (see below), whose sum is σ = 2984601600. Its totient is φ = 347911680.

The previous prime is 1085650739. The next prime is 1085650759. The reversal of 1085650752 is 2570565801.

It is a self number, because there is not a number n which added to its sum of digits gives 1085650752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085650759) 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, 1064899 + ... + 1065917.

Almost surely, 21085650752 is an apocalyptic number.

1085650752 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 1085650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492300800).

1085650752 is an abundant number, since it is smaller than the sum of its proper divisors (1898950848).

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

1085650752 is a wasteful number, since it uses less digits than its factorization.

1085650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 1085650752 is about 32949.2147402635. The cubic root of 1085650752 is about 1027.7718358915.

The spelling of 1085650752 in words is "one billion, eighty-five million, six hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 179 186 192 248 358 372 496 537 716 744 992 1019 1074 1432 1488 1984 2038 2148 2864 2976 3057 4076 4296 5549 5728 5952 6114 8152 8592 11098 11456 12228 16304 16647 17184 22196 24456 31589 32608 33294 34368 44392 48912 63178 65216 66588 88784 94767 97824 126356 133176 177568 182401 189534 195648 252712 266352 355136 364802 379068 505424 532704 547203 729604 758136 1010848 1065408 1094406 1459208 1516272 2021696 2188812 2918416 3032544 4377624 5654431 5836832 6065088 8755248 11308862 11673664 16963293 17510496 22617724 33926586 35020992 45235448 67853172 90470896 135706344 180941792 271412688 361883584 542825376 1085650752