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2104003232 = 251723141179
BaseRepresentation
bin111110101101000…
…1000101010100000
312102122001102211122
41331122020222200
513302111100412
6544440031412
7103065506132
oct17532105240
95378042748
102104003232
1198a722851
124a8762568
13276b90036
1415d60d052
15c4aa8572
hex7d688aa0

2104003232 has 144 divisors (see below), whose sum is σ = 4678974720. Its totient is φ = 929587200.

The previous prime is 2104003219. The next prime is 2104003241. The reversal of 2104003232 is 2323004012.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2104003232.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11754119 + ... + 11754297.

It is an arithmetic number, because the mean of its divisors is an integer number (32492880).

Almost surely, 22104003232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339487360).

2104003232 is an abundant number, since it is smaller than the sum of its proper divisors (2574971488).

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

2104003232 is a wasteful number, since it uses less digits than its factorization.

2104003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2104003232 is about 45869.4149951795. The cubic root of 2104003232 is about 1281.3923715613.

Adding to 2104003232 its reverse (2323004012), we get a palindrome (4427007244).

The spelling of 2104003232 in words is "two billion, one hundred four million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 41 62 68 82 124 136 164 179 248 272 289 328 358 496 527 544 578 656 697 716 992 1054 1156 1271 1312 1394 1432 2108 2312 2542 2788 2864 3043 4216 4624 5084 5549 5576 5728 6086 7339 8432 8959 9248 10168 11098 11152 11849 12172 14678 16864 17918 20336 21607 22196 22304 23698 24344 29356 35836 40672 43214 44392 47396 48688 51731 58712 71672 86428 88784 94333 94792 97376 103462 117424 124763 143344 172856 177568 188666 189584 206924 227509 234848 249526 286688 345712 367319 377332 379168 413848 455018 499052 691424 734638 754664 827696 910036 998104 1469276 1509328 1603661 1655392 1820072 1996208 2120971 2938552 3018656 3207322 3640144 3867653 3992416 4241942 5877104 6414644 7280288 7735306 8483884 11754208 12829288 15470612 16967768 25658576 30941224 33935536 51317152 61882448 65750101 67871072 123764896 131500202 263000404 526000808 1052001616 2104003232