Search a number
-
+
13404804 = 22371937227
BaseRepresentation
bin110011001000…
…101010000100
3221020000221020
4303020222010
511412423204
61155151140
7221640030
oct63105204
927200836
1013404804
117626256
1245a54b0
132a1454a
141acd1c0
15129bbd9
hexcc8a84

13404804 has 96 divisors (see below), whose sum is σ = 38814720. Its totient is φ = 3514752.

The previous prime is 13404763. The next prime is 13404829. The reversal of 13404804 is 40840431.

13404804 = T91 + T92 + ... + T432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58939 + ... + 59165.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 213404804 is an apocalyptic number.

13404804 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 13404804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407360).

13404804 is an abundant number, since it is smaller than the sum of its proper divisors (25409916).

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

13404804 is a wasteful number, since it uses less digits than its factorization.

13404804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13404804 is about 3661.2571611401. The cubic root of 13404804 is about 237.5491547382.

The spelling of 13404804 in words is "thirteen million, four hundred four thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 37 38 42 57 74 76 84 111 114 133 148 222 227 228 259 266 399 444 454 518 532 681 703 777 798 908 1036 1362 1406 1554 1589 1596 2109 2724 2812 3108 3178 4218 4313 4767 4921 6356 8399 8436 8626 9534 9842 12939 14763 16798 17252 19068 19684 25197 25878 29526 30191 33596 50394 51756 58793 59052 60382 90573 100788 117586 120764 159581 176379 181146 235172 319162 352758 362292 478743 638324 705516 957486 1117067 1914972 2234134 3351201 4468268 6702402 13404804