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1232133920 = 255231132963
BaseRepresentation
bin100100101110000…
…1101111100100000
310011212110212222122
41021130031330200
510010411241140
6322132523412
742350652113
oct11134157440
93155425878
101232133920
115825644a6
122a4780568
13168365834
14b98d657a
1573286ab5
hex4970df20

1232133920 has 96 divisors (see below), whose sum is σ = 3065392512. Its totient is φ = 467095552.

The previous prime is 1232133913. The next prime is 1232133923. The reversal of 1232133920 is 293312321.

It is a self number, because there is not a number n which added to its sum of digits gives 1232133920.

It is not an unprimeable number, because it can be changed into a prime (1232133923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414359 + ... + 417321.

It is an arithmetic number, because the mean of its divisors is an integer number (31931172).

Almost surely, 21232133920 is an apocalyptic number.

1232133920 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 1232133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532696256).

1232133920 is an abundant number, since it is smaller than the sum of its proper divisors (1833258592).

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

1232133920 is a wasteful number, since it uses less digits than its factorization.

1232133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 1232133920 is about 35101.7651977789. The cubic root of 1232133920 is about 1072.0605241687.

The spelling of 1232133920 in words is "one billion, two hundred thirty-two million, one hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 113 115 160 184 226 230 368 452 460 565 736 904 920 1130 1808 1840 2260 2599 2963 3616 3680 4520 5198 5926 9040 10396 11852 12995 14815 18080 20792 23704 25990 29630 41584 47408 51980 59260 68149 83168 94816 103960 118520 136298 207920 237040 272596 334819 340745 415840 474080 545192 669638 681490 1090384 1339276 1362980 1674095 2180768 2678552 2725960 3348190 5357104 5451920 6696380 7700837 10714208 10903840 13392760 15401674 26785520 30803348 38504185 53571040 61606696 77008370 123213392 154016740 246426784 308033480 616066960 1232133920