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13741408 = 251997233
BaseRepresentation
bin110100011010…
…110101100000
3221212010200001
4310122311200
512004211113
61210305344
7224541262
oct64326540
927763601
1013741408
11783613a
124728254
132b01815
141b79b32
1513167dd
hexd1ad60

13741408 has 48 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 6414336.

The previous prime is 13741391. The next prime is 13741421. The reversal of 13741408 is 80414731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58860 + ... + 59092.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 213741408 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 13741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

13741408 is an abundant number, since it is smaller than the sum of its proper divisors (15152912).

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

13741408 is a wasteful number, since it uses less digits than its factorization.

13741408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 13741408 is about 3706.9405174618. The cubic root of 13741408 is about 239.5210819958.

The spelling of 13741408 in words is "thirteen million, seven hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 233 304 388 466 608 776 932 1552 1843 1864 3104 3686 3728 4427 7372 7456 8854 14744 17708 22601 29488 35416 45202 58976 70832 90404 141664 180808 361616 429419 723232 858838 1717676 3435352 6870704 13741408