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13484604 = 22372171971
BaseRepresentation
bin110011011100…
…001000111100
3221101002101210
4303130020330
511423001404
61201004420
7222421500
oct63341074
927332353
1013484604
117680201
124623710
132a41973
141b10300
1512b5689
hexcdc23c

13484604 has 144 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3386880.

The previous prime is 13484591. The next prime is 13484617. The reversal of 13484604 is 40648431.

13484604 = T112 + T113 + ... + T434.

13484604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13484591) and next prime (13484617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189889 + ... + 189959.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 213484604 is an apocalyptic number.

13484604 is a gapful number since it is divisible by the number (14) 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 13484604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13484604 is an abundant number, since it is smaller than the sum of its proper divisors (27883716).

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

13484604 is a wasteful number, since it uses less digits than its factorization.

13484604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 13484604 is about 3672.1388862623. The cubic root of 13484604 is about 238.0196062279.

The spelling of 13484604 in words is "thirteen million, four hundred eighty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 49 51 57 68 71 76 84 98 102 114 119 133 142 147 196 204 213 228 238 266 284 294 323 357 399 426 476 497 532 588 646 714 798 833 852 931 969 994 1207 1292 1349 1428 1491 1596 1666 1862 1938 1988 2261 2414 2499 2698 2793 2982 3332 3479 3621 3724 3876 4047 4522 4828 4998 5396 5586 5964 6783 6958 7242 8094 8449 9044 9443 9996 10437 11172 13566 13916 14484 15827 16188 16898 18886 20874 22933 25347 27132 28329 31654 33796 37772 41748 45866 47481 50694 56658 59143 63308 66101 68799 91732 94962 101388 113316 118286 132202 137598 160531 177429 189924 198303 236572 264404 275196 321062 354858 396606 481593 642124 709716 793212 963186 1123717 1926372 2247434 3371151 4494868 6742302 13484604