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11372416 = 271141197
BaseRepresentation
bin101011011000…
…011110000000
3210101210000121
4223120132000
510402404131
61043430024
7165443506
oct53303600
923353017
1011372416
1164682a0
123985314
132482453
141720676
15ee9911
hexad8780

11372416 has 64 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 5017600.

The previous prime is 11372401. The next prime is 11372429. The reversal of 11372416 is 61427311.

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

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, 57630 + ... + 57826.

Almost surely, 211372416 is an apocalyptic number.

11372416 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 11372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

11372416 is an abundant number, since it is smaller than the sum of its proper divisors (14074544).

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

11372416 is a wasteful number, since it uses less digits than its factorization.

11372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 11372416 is about 3372.3012914032. The cubic root of 11372416 is about 224.8800414053.

Adding to 11372416 its reverse (61427311), we get a palindrome (72799727).

It can be divided in two parts, 1137 and 2416, that added together give a palindrome (3553).

The spelling of 11372416 in words is "eleven million, three hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 197 328 352 394 451 656 704 788 902 1312 1408 1576 1804 2167 2624 3152 3608 4334 5248 6304 7216 8077 8668 12608 14432 16154 17336 25216 28864 32308 34672 57728 64616 69344 88847 129232 138688 177694 258464 277376 355388 516928 710776 1033856 1421552 2843104 5686208 11372416