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1139249216 = 26721033527
BaseRepresentation
bin100001111100111…
…1001000001000000
32221101200212010102
41003321321001000
54313121433331
6305014021532
740142313200
oct10371710100
92841625112
101139249216
11535092886
122796478a8
13152043881
14ab438400
156a03a4cb
hex43e79040

1139249216 has 84 divisors (see below), whose sum is σ = 2656075968. Its totient is φ = 483372288.

The previous prime is 1139249207. The next prime is 1139249219. The reversal of 1139249216 is 6129429311.

It is a super-2 number, since 2×11392492162 = 2595777552313229312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1139249216.

It is not an unprimeable number, because it can be changed into a prime (1139249219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321245 + ... + 324771.

It is an arithmetic number, because the mean of its divisors is an integer number (31619952).

Almost surely, 21139249216 is an apocalyptic number.

1139249216 is a gapful number since it is divisible by the number (16) 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 1139249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328037984).

1139249216 is an abundant number, since it is smaller than the sum of its proper divisors (1516826752).

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

1139249216 is a wasteful number, since it uses less digits than its factorization.

1139249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3639 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 1139249216 is about 33752.7660496144. The cubic root of 1139249216 is about 1044.4145484057.

The spelling of 1139249216 in words is "one billion, one hundred thirty-nine million, two hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 196 206 224 392 412 448 721 784 824 1442 1568 1648 2884 3136 3296 3527 5047 5768 6592 7054 10094 11536 14108 20188 23072 24689 28216 40376 46144 49378 56432 80752 98756 112864 161504 172823 197512 225728 323008 345646 363281 395024 691292 726562 790048 1382584 1453124 1580096 2542967 2765168 2906248 5085934 5530336 5812496 10171868 11060672 11624992 17800769 20343736 23249984 35601538 40687472 71203076 81374944 142406152 162749888 284812304 569624608 1139249216