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13415424 = 210311397
BaseRepresentation
bin110011001011…
…010000000000
3221020120111120
4303023100000
511413243144
61155312240
7222013011
oct63132000
927216446
1013415424
117633230
1245ab680
132a19329
141ad3008
15129ee19
hexccb400

13415424 has 88 divisors (see below), whose sum is σ = 39105888. Its totient is φ = 4055040.

The previous prime is 13415411. The next prime is 13415447. The reversal of 13415424 is 42451431.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13415394 and 13415403.

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, 33594 + ... + 33990.

Almost surely, 213415424 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 13415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552944).

13415424 is an abundant number, since it is smaller than the sum of its proper divisors (25690464).

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

13415424 is a wasteful number, since it uses less digits than its factorization.

13415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 13415424 is about 3662.7071955044. The cubic root of 13415424 is about 237.6118712113.

Adding to 13415424 its reverse (42451431), we get a palindrome (55866855).

The spelling of 13415424 in words is "thirteen million, four hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 397 512 528 704 768 794 1024 1056 1191 1408 1536 1588 2112 2382 2816 3072 3176 4224 4367 4764 5632 6352 8448 8734 9528 11264 12704 13101 16896 17468 19056 25408 26202 33792 34936 38112 50816 52404 69872 76224 101632 104808 139744 152448 203264 209616 279488 304896 406528 419232 558976 609792 838464 1117952 1219584 1676928 2235904 3353856 4471808 6707712 13415424