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13534416 = 2432729463
BaseRepresentation
bin110011101000…
…010011010000
3221110121201200
4303220103100
511431100131
61202031200
7223016640
oct63502320
927417650
1013534416
117704675
124648500
132a5b53c
141b24520
1512c52e6
hexce84d0

13534416 has 120 divisors (see below), whose sum is σ = 44878080. Its totient is φ = 3725568.

The previous prime is 13534399. The next prime is 13534439. The reversal of 13534416 is 61443531.

It is a super-2 number, since 2×135344162 = 366360832922112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13534416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29001 + ... + 29463.

It is an arithmetic number, because the mean of its divisors is an integer number (373984).

Almost surely, 213534416 is an apocalyptic number.

13534416 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 13534416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439040).

13534416 is an abundant number, since it is smaller than the sum of its proper divisors (31343664).

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

13534416 is a wasteful number, since it uses less digits than its factorization.

13534416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13534416 is about 3678.9150574592. The cubic root of 13534416 is about 238.3123268145.

Adding to 13534416 its reverse (61443531), we get a palindrome (74977947).

The spelling of 13534416 in words is "thirteen million, five hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 463 464 504 522 609 696 812 926 1008 1044 1218 1389 1392 1624 1827 1852 2088 2436 2778 3241 3248 3654 3704 4167 4176 4872 5556 6482 7308 7408 8334 9723 9744 11112 12964 13427 14616 16668 19446 22224 25928 26854 29169 29232 33336 38892 40281 51856 53708 58338 66672 77784 80562 93989 107416 116676 120843 155568 161124 187978 214832 233352 241686 281967 322248 375956 466704 483372 563934 644496 751912 845901 966744 1127868 1503824 1691802 1933488 2255736 3383604 4511472 6767208 13534416