Search a number
-
+
104690432 = 2871147113
BaseRepresentation
bin1100011110101…
…11001100000000
321021222211021102
412033113030000
5203300043212
614215513532
72410565630
oct617271400
9237884242
10104690432
1154105520
122b0888a8
13188c6702
14dc926c0
1592ce5c2
hex63d7300

104690432 has 144 divisors (see below), whose sum is σ = 268434432. Its totient is φ = 39567360.

The previous prime is 104690419. The next prime is 104690447. The reversal of 104690432 is 234096401.

It is a junction number, because it is equal to n+sod(n) for n = 104690395 and 104690404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926408 + ... + 926520.

It is an arithmetic number, because the mean of its divisors is an integer number (1864128).

Almost surely, 2104690432 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 104690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217216).

104690432 is an abundant number, since it is smaller than the sum of its proper divisors (163744000).

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

104690432 is a wasteful number, since it uses less digits than its factorization.

104690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 104690432 is about 10231.8342441617. The cubic root of 104690432 is about 471.3053076481.

The spelling of 104690432 in words is "one hundred four million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 113 128 154 176 188 224 226 256 308 329 352 376 448 452 517 616 658 704 752 791 896 904 1034 1232 1243 1316 1408 1504 1582 1792 1808 2068 2464 2486 2632 2816 3008 3164 3616 3619 4136 4928 4972 5264 5311 6016 6328 7232 7238 8272 8701 9856 9944 10528 10622 12032 12656 14464 14476 16544 17402 19712 19888 21056 21244 25312 28928 28952 33088 34804 37177 39776 42112 42488 50624 57904 58421 66176 69608 74354 79552 84224 84976 101248 115808 116842 132352 139216 148708 159104 169952 202496 231616 233684 278432 297416 318208 339904 408947 463232 467368 556864 594832 679808 817894 926464 934736 1113728 1189664 1359616 1635788 1869472 2227456 2379328 3271576 3738944 4758656 6543152 7477888 9517312 13086304 14955776 26172608 52345216 104690432