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1086693048 = 2332716712911
BaseRepresentation
bin100000011000101…
…1001111010111000
32210201210201121200
41000301121322320
54211143134143
6255455334200
735633511210
oct10061317270
92721721550
101086693048
11508456631
12263b21360
131441a1b4c
14a4477240
15656081d3
hex40c59eb8

1086693048 has 96 divisors (see below), whose sum is σ = 3383976960. Its totient is φ = 308600640.

The previous prime is 1086693043. The next prime is 1086693059. The reversal of 1086693048 is 8403966801.

It is a junction number, because it is equal to n+sod(n) for n = 1086692994 and 1086693012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086693043) 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, 77713 + ... + 90623.

It is an arithmetic number, because the mean of its divisors is an integer number (35249760).

Almost surely, 21086693048 is an apocalyptic number.

1086693048 is a gapful number since it is divisible by the number (18) 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 1086693048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691988480).

1086693048 is an abundant number, since it is smaller than the sum of its proper divisors (2297283912).

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

1086693048 is a wasteful number, since it uses less digits than its factorization.

1086693048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1086693048 is about 32965.0276505269. The cubic root of 1086693048 is about 1028.1006401696.

The spelling of 1086693048 in words is "one billion, eighty-six million, six hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 1002 1169 1336 1503 2004 2338 3006 3507 4008 4676 6012 7014 9352 10521 12024 12911 14028 21042 25822 28056 38733 42084 51644 77466 84168 90377 103288 116199 154932 180754 232398 271131 309864 361508 464796 542262 723016 813393 929592 1084524 1626786 2156137 2169048 3253572 4312274 6468411 6507144 8624548 12936822 15092959 17249096 19405233 25873644 30185918 38810466 45278877 51747288 60371836 77620932 90557754 120743672 135836631 155241864 181115508 271673262 362231016 543346524 1086693048