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1325432832 = 215397139
BaseRepresentation
bin100111100000000…
…1000000000000000
310102101000222000220
41033000020000000
510203302322312
6335304343040
744562664443
oct11700100000
93371028026
101325432832
11620199339
1230ba74a80
131817a11a9
14c806165a
157b565c8c
hex4f008000

1325432832 has 128 divisors (see below), whose sum is σ = 3596560800. Its totient is φ = 434110464.

The previous prime is 1325432819. The next prime is 1325432839. The reversal of 1325432832 is 2382345231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1325432793 and 1325432802.

It is not an unprimeable number, because it can be changed into a prime (1325432839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9535419 + ... + 9535557.

Almost surely, 21325432832 is an apocalyptic number.

1325432832 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 1325432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798280400).

1325432832 is an abundant number, since it is smaller than the sum of its proper divisors (2271127968).

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

1325432832 is an frugal number, since it uses more digits than its factorization.

1325432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 1325432832 is about 36406.4943657035. The cubic root of 1325432832 is about 1098.4642016501.

The spelling of 1325432832 in words is "one billion, three hundred twenty-five million, four hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 139 192 194 256 278 291 384 388 417 512 556 582 768 776 834 1024 1112 1164 1536 1552 1668 2048 2224 2328 3072 3104 3336 4096 4448 4656 6144 6208 6672 8192 8896 9312 12288 12416 13344 13483 16384 17792 18624 24576 24832 26688 26966 32768 35584 37248 40449 49152 49664 53376 53932 71168 74496 80898 98304 99328 106752 107864 142336 148992 161796 198656 213504 215728 284672 297984 323592 397312 427008 431456 569344 595968 647184 794624 854016 862912 1138688 1191936 1294368 1589248 1708032 1725824 2277376 2383872 2588736 3178496 3416064 3451648 4554752 4767744 5177472 6832128 6903296 9535488 10354944 13664256 13806592 20709888 27613184 41419776 55226368 82839552 110452736 165679104 220905472 331358208 441810944 662716416 1325432832