Search a number
-
+
1139351040 = 2932549451
BaseRepresentation
bin100001111101001…
…0001111000000000
32221101220000210200
41003322101320000
54313133213130
6305020125200
740143216102
oct10372217000
92841800720
101139351040
11535152333
12279696800
1315207b019
14ab463572
156a05a760
hex43e91e00

1139351040 has 120 divisors (see below), whose sum is σ = 3945972888. Its totient is φ = 303820800.

The previous prime is 1139350981. The next prime is 1139351051. The reversal of 1139351040 is 401539311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1139350995 and 1139351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1686 + ... + 47765.

Almost surely, 21139351040 is an apocalyptic number.

1139351040 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 1139351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972986444).

1139351040 is an abundant number, since it is smaller than the sum of its proper divisors (2806621848).

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

1139351040 is an equidigital number, since it uses as much as digits as its factorization.

1139351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49480 (or 49461 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1139351040 is about 33754.2743959932. The cubic root of 1139351040 is about 1044.4456634293.

The spelling of 1139351040 in words is "one billion, one hundred thirty-nine million, three hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 49451 98902 148353 197804 247255 296706 395608 445059 494510 593412 741765 791216 890118 989020 1186824 1483530 1582432 1780236 1978040 2225295 2373648 2967060 3164864 3560472 3956080 4450590 4747296 5934120 6329728 7120944 7912160 8901180 9494592 11868240 12659456 14241888 15824320 17802360 18989184 23736480 25318912 28483776 31648640 35604720 37978368 47472960 56967552 63297280 71209440 75956736 94945920 113935104 126594560 142418880 189891840 227870208 284837760 379783680 569675520 1139351040