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1133040120 = 2335791071117
BaseRepresentation
bin100001110001000…
…1101000111111000
32220222000101211220
41003202031013320
54310024240440
6304232552040
740035452652
oct10342150770
92828011756
101133040120
115316318a3
12277552620
1315097b654
14aa69d6d2
15697108d0
hex4388d1f8

1133040120 has 128 divisors (see below), whose sum is σ = 3477427200. Its totient is φ = 295266816.

The previous prime is 1133040109. The next prime is 1133040133. The reversal of 1133040120 is 210403311.

It is a super-2 number, since 2×11330401202 = 2567559827059228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1133040120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013802 + ... + 1014918.

It is an arithmetic number, because the mean of its divisors is an integer number (27167400).

Almost surely, 21133040120 is an apocalyptic number.

1133040120 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 1133040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738713600).

1133040120 is an abundant number, since it is smaller than the sum of its proper divisors (2344387080).

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

1133040120 is a wasteful number, since it uses less digits than its factorization.

1133040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1133040120 is about 33660.6613125767. The cubic root of 1133040120 is about 1042.5136803868.

Adding to 1133040120 its reverse (210403311), we get a palindrome (1343443431).

The spelling of 1133040120 in words is "one billion, one hundred thirty-three million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 107 120 158 214 237 316 321 395 428 474 535 632 642 790 856 948 1070 1117 1185 1284 1580 1605 1896 2140 2234 2370 2568 3160 3210 3351 4280 4468 4740 5585 6420 6702 8453 8936 9480 11170 12840 13404 16755 16906 22340 25359 26808 33510 33812 42265 44680 50718 67020 67624 84530 88243 101436 119519 126795 134040 169060 176486 202872 239038 253590 264729 338120 352972 358557 441215 478076 507180 529458 597595 705944 717114 882430 956152 1014360 1058916 1195190 1323645 1434228 1764860 1792785 2117832 2390380 2647290 2868456 3529720 3585570 4780760 5294580 7171140 9442001 10589160 14342280 18884002 28326003 37768004 47210005 56652006 75536008 94420010 113304012 141630015 188840020 226608024 283260030 377680040 566520060 1133040120