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1139462040 = 2335311571951
BaseRepresentation
bin100001111101010…
…1100111110011000
32221102002200001210
41003322230332120
54313200241130
6305022343120
740144160523
oct10372547630
92842080053
101139462040
11535218772
1227972aaa0
131520b96c2
14ab491bba
156a07d5b0
hex43eacf98

1139462040 has 128 divisors (see below), whose sum is σ = 3552952320. Its totient is φ = 292032000.

The previous prime is 1139462039. The next prime is 1139462059. The reversal of 1139462040 is 402649311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1139461989 and 1139462007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583065 + ... + 585015.

It is an arithmetic number, because the mean of its divisors is an integer number (27757440).

Almost surely, 21139462040 is an apocalyptic number.

1139462040 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 1139462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776476160).

1139462040 is an abundant number, since it is smaller than the sum of its proper divisors (2413490280).

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

1139462040 is a wasteful number, since it uses less digits than its factorization.

1139462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1139462040 is about 33755.9185921521. The cubic root of 1139462040 is about 1044.4795803112.

The spelling of 1139462040 in words is "one billion, one hundred thirty-nine million, four hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 157 186 248 310 314 372 465 471 620 628 744 785 930 942 1240 1256 1570 1860 1884 1951 2355 3140 3720 3768 3902 4710 4867 5853 6280 7804 9420 9734 9755 11706 14601 15608 18840 19468 19510 23412 24335 29202 29265 38936 39020 46824 48670 58404 58530 60481 73005 78040 97340 116808 117060 120962 146010 181443 194680 234120 241924 292020 302405 306307 362886 483848 584040 604810 612614 725772 907215 918921 1209620 1225228 1451544 1531535 1814430 1837842 2419240 2450456 3063070 3628860 3675684 4594605 6126140 7257720 7351368 9189210 9495517 12252280 18378420 18991034 28486551 36756840 37982068 47477585 56973102 75964136 94955170 113946204 142432755 189910340 227892408 284865510 379820680 569731020 1139462040