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1161139920 = 243537229571
BaseRepresentation
bin100010100110101…
…1001011011010000
32222220220000112020
41011031121123100
54334222434140
6311115131440
740526345403
oct10515313320
92886800466
101161139920
11546484676
12284a43b80
13156739755
14b02d5d3a
156be116d0
hex453596d0

1161139920 has 160 divisors (see below), whose sum is σ = 3719464320. Its totient is φ = 299427840.

The previous prime is 1161139897. The next prime is 1161139921. The reversal of 1161139920 is 299311611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161139921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033235 + ... + 2033805.

It is an arithmetic number, because the mean of its divisors is an integer number (23246652).

Almost surely, 21161139920 is an apocalyptic number.

1161139920 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 1161139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859732160).

1161139920 is an abundant number, since it is smaller than the sum of its proper divisors (2558324400).

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

1161139920 is a wasteful number, since it uses less digits than its factorization.

1161139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 1161139920 is about 34075.5032244573. The cubic root of 1161139920 is about 1051.0616382509.

The spelling of 1161139920 in words is "one billion, one hundred sixty-one million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 229 240 296 370 444 458 555 571 592 687 740 888 916 1110 1142 1145 1374 1480 1713 1776 1832 2220 2284 2290 2748 2855 2960 3426 3435 3664 4440 4568 4580 5496 5710 6852 6870 8473 8565 8880 9136 9160 10992 11420 13704 13740 16946 17130 18320 21127 22840 25419 27408 27480 33892 34260 42254 42365 45680 50838 54960 63381 67784 68520 84508 84730 101676 105635 126762 127095 130759 135568 137040 169016 169460 203352 211270 253524 254190 261518 316905 338032 338920 392277 406704 422540 507048 508380 523036 633810 653795 677840 784554 845080 1014096 1016760 1046072 1267620 1307590 1569108 1690160 1961385 2033520 2092144 2535240 2615180 3138216 3922770 4838083 5070480 5230360 6276432 7845540 9676166 10460720 14514249 15691080 19352332 24190415 29028498 31382160 38704664 48380830 58056996 72571245 77409328 96761660 116113992 145142490 193523320 232227984 290284980 387046640 580569960 1161139920