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1230433152 = 27313317951
BaseRepresentation
bin100100101010110…
…1110101110000000
310011202021110222020
41021111232232000
510004442330102
6322032241440
742330336444
oct11125565600
93152243866
101230433152
11581602703
122a40a0280
13167bbb670
14b95b2824
157304cbbc
hex4956eb80

1230433152 has 128 divisors (see below), whose sum is σ = 3633745920. Its totient is φ = 366336000.

The previous prime is 1230433147. The next prime is 1230433153. The reversal of 1230433152 is 2513340321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230433153) 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, 150777 + ... + 158727.

It is an arithmetic number, because the mean of its divisors is an integer number (28388640).

Almost surely, 21230433152 is an apocalyptic number.

1230433152 is a gapful number since it is divisible by the number (12) 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 1230433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816872960).

1230433152 is an abundant number, since it is smaller than the sum of its proper divisors (2403312768).

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

1230433152 is a wasteful number, since it uses less digits than its factorization.

1230433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1230433152 is about 35077.5305858323. The cubic root of 1230433152 is about 1071.5670264554.

Adding to 1230433152 its reverse (2513340321), we get a palindrome (3743773473).

The spelling of 1230433152 in words is "one billion, two hundred thirty million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 7951 9672 11904 12896 15902 19344 23853 25792 31804 38688 47706 51584 63608 77376 95412 103363 127216 154752 190824 206726 246481 254432 310089 381648 413452 492962 508864 620178 739443 763296 826904 985924 1017728 1240356 1478886 1526592 1653808 1971848 2480712 2957772 3053184 3204253 3307616 3943696 4961424 5915544 6408506 6615232 7887392 9612759 9922848 11831088 12817012 13230464 15774784 19225518 19845696 23662176 25634024 31549568 38451036 39691392 47324352 51268048 76902072 94648704 102536096 153804144 205072192 307608288 410144384 615216576 1230433152