Search a number
-
+
13407616 = 271937149
BaseRepresentation
bin110011001001…
…010110000000
3221020011210101
4303021112000
511413020431
61155212144
7221651155
oct63112600
927204711
1013407616
117628382
1245a7054
132a15901
141ad022c
15129c961
hexcc9580

13407616 has 64 divisors (see below), whose sum is σ = 29070000. Its totient is φ = 6137856.

The previous prime is 13407601. The next prime is 13407629. The reversal of 13407616 is 61670431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89910 + ... + 90058.

Almost surely, 213407616 is an apocalyptic number.

13407616 is a gapful number since it is divisible by the number (16) 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 13407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535000).

13407616 is an abundant number, since it is smaller than the sum of its proper divisors (15662384).

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

13407616 is a wasteful number, since it uses less digits than its factorization.

13407616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13407616 is about 3661.6411621020. The cubic root of 13407616 is about 237.5657642442.

The spelling of 13407616 in words is "thirteen million, four hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 149 152 296 298 304 592 596 608 703 1184 1192 1216 1406 2368 2384 2432 2812 2831 4736 4768 5513 5624 5662 9536 11026 11248 11324 19072 22052 22496 22648 44104 44992 45296 88208 89984 90592 104747 176416 181184 209494 352832 362368 418988 705664 837976 1675952 3351904 6703808 13407616