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13370016 = 2531121151
BaseRepresentation
bin110011000000…
…001010100000
3221011021012210
4303000022200
511410320031
61154322120
7221433432
oct63001240
927137183
1013370016
117602100
124589340
132a0176a
141ac0652
151291746
hexcc02a0

13370016 has 72 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 4048000.

The previous prime is 13370003. The next prime is 13370029. The reversal of 13370016 is 61007331.

It is an interprime number because it is at equal distance from previous prime (13370003) and next prime (13370029).

It is a junction number, because it is equal to n+sod(n) for n = 13369974 and 13370001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11041 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 213370016 is an apocalyptic number.

13370016 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 13370016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

13370016 is an abundant number, since it is smaller than the sum of its proper divisors (25240416).

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

13370016 is a wasteful number, since it uses less digits than its factorization.

13370016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 13370016 is about 3656.5032476397. The cubic root of 13370016 is about 237.3434817302.

Adding to 13370016 its reverse (61007331), we get a palindrome (74377347).

The spelling of 13370016 in words is "thirteen million, three hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1151 1452 1936 2302 2904 3453 3872 4604 5808 6906 9208 11616 12661 13812 18416 25322 27624 36832 37983 50644 55248 75966 101288 110496 139271 151932 202576 278542 303864 405152 417813 557084 607728 835626 1114168 1215456 1671252 2228336 3342504 4456672 6685008 13370016