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1086110740 = 22511133071237
BaseRepresentation
bin100000010111100…
…1011110000010100
32210200201010211201
41000233023300110
54211021020430
6255435042244
735625534421
oct10057136024
92720633751
101086110740
11508099090
122638a0384
13144029aa0
14a4364d48
15655408ca
hex40bcbc14

1086110740 has 96 divisors (see below), whose sum is σ = 2690481024. Its totient is φ = 363087360.

The previous prime is 1086110689. The next prime is 1086110743. The reversal of 1086110740 is 470116801.

It is a junction number, because it is equal to n+sod(n) for n = 1086110699 and 1086110708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086110743) 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 31 ways as a sum of consecutive naturals, for example, 877402 + ... + 878638.

It is an arithmetic number, because the mean of its divisors is an integer number (28025844).

Almost surely, 21086110740 is an apocalyptic number.

1086110740 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 1086110740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345240512).

1086110740 is an abundant number, since it is smaller than the sum of its proper divisors (1604370284).

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

1086110740 is a wasteful number, since it uses less digits than its factorization.

1086110740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1086110740 is about 32956.1942584395. The cubic root of 1086110740 is about 1027.9169703363.

The spelling of 1086110740 in words is "one billion, eighty-six million, one hundred ten thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 307 572 614 715 1228 1237 1430 1535 2474 2860 3070 3377 3991 4948 6140 6185 6754 7982 12370 13508 13607 15964 16081 16885 19955 24740 27214 32162 33770 39910 43901 54428 64324 67540 68035 79820 80405 87802 136070 160810 175604 176891 219505 272140 321620 353782 379759 439010 707564 759518 878020 884455 1519036 1768910 1898795 3537820 3797590 4177349 4936867 7595180 8354698 9873734 16709396 19747468 20886745 24684335 41773490 49368670 54305537 83546980 98737340 108611074 217222148 271527685 543055370 1086110740