Search a number
-
+
5515104 = 253729283
BaseRepresentation
bin10101000010011101100000
3101101012022010
4111002131200
52402440404
6314112520
764610010
oct25023540
911335263
105515104
113127641
121a1b740
1311b139a
14a37c40
1573e189
hex542760

5515104 has 96 divisors (see below), whose sum is σ = 17176320. Its totient is φ = 1516032.

The previous prime is 5515099. The next prime is 5515141. The reversal of 5515104 is 4015155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 19347 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 25515104 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 5515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588160).

5515104 is an abundant number, since it is smaller than the sum of its proper divisors (11661216).

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

5515104 is a wasteful number, since it uses less digits than its factorization.

5515104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 5515104 is about 2348.4258557596. The cubic root of 5515104 is about 176.6788520530.

The spelling of 5515104 in words is "five million, five hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 283 336 348 406 464 566 609 672 696 812 849 928 1132 1218 1392 1624 1698 1981 2264 2436 2784 3248 3396 3962 4528 4872 5943 6496 6792 7924 8207 9056 9744 11886 13584 15848 16414 19488 23772 24621 27168 31696 32828 47544 49242 57449 63392 65656 95088 98484 114898 131312 172347 190176 196968 229796 262624 344694 393936 459592 689388 787872 919184 1378776 1838368 2757552 5515104