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1233104940 = 22325192912433
BaseRepresentation
bin100100101111111…
…1011000000101100
310011221022012222100
41021133323000230
510011133324230
6322205415100
742362135064
oct11137730054
93157265870
101233104940
11583067aa1
122a4b6a490
131686157c2
14b9aaa3a4
15733c9660
hex497fb02c

1233104940 has 144 divisors (see below), whose sum is σ = 4073378400. Its totient is φ = 300754944.

The previous prime is 1233104933. The next prime is 1233104947. The reversal of 1233104940 is 494013321.

It is an interprime number because it is at equal distance from previous prime (1233104933) and next prime (1233104947).

It is not an unprimeable number, because it can be changed into a prime (1233104947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92964 + ... + 105396.

It is an arithmetic number, because the mean of its divisors is an integer number (28287350).

Almost surely, 21233104940 is an apocalyptic number.

1233104940 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 1233104940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036689200).

1233104940 is an abundant number, since it is smaller than the sum of its proper divisors (2840273460).

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

1233104940 is a wasteful number, since it uses less digits than its factorization.

1233104940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1233104940 is about 35115.5939719094. The cubic root of 1233104940 is about 1072.3420733443.

The spelling of 1233104940 in words is "one billion, two hundred thirty-three million, one hundred four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4959 5220 5510 6612 8265 9918 11020 12433 16530 19836 24795 24866 33060 37299 49590 49732 62165 74598 99180 111897 124330 149196 186495 223794 236227 248660 360557 372990 447588 472454 559485 708681 721114 745980 944908 1081671 1118970 1181135 1417362 1442228 1802785 2126043 2163342 2237940 2362270 2834724 3245013 3543405 3605570 4252086 4326684 4724540 5408355 6490026 6850583 7086810 7211140 8504172 10630215 10816710 12980052 13701166 14173620 16225065 20551749 21260430 21633420 27402332 32450130 34252915 41103498 42520860 61655247 64900260 68505830 82206996 102758745 123310494 137011660 205517490 246620988 308276235 411034980 616552470 1233104940