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13919340 = 22351132053
BaseRepresentation
bin110101000110…
…010001101100
3222012011202010
4311012101230
512030404330
61214201220
7226212111
oct65062154
928164663
1013919340
117947896
1247b3210
132b647c6
141bc4908
15134e3b0
hexd4646c

13919340 has 48 divisors (see below), whose sum is σ = 39338208. Its totient is φ = 3677184.

The previous prime is 13919329. The next prime is 13919351. The reversal of 13919340 is 4391931.

It is an interprime number because it is at equal distance from previous prime (13919329) and next prime (13919351).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13919298 and 13919307.

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 15 ways as a sum of consecutive naturals, for example, 5754 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (819546).

Almost surely, 213919340 is an apocalyptic number.

13919340 is a gapful number since it is divisible by the number (10) 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 13919340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669104).

13919340 is an abundant number, since it is smaller than the sum of its proper divisors (25418868).

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

13919340 is a wasteful number, since it uses less digits than its factorization.

13919340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13919340 is about 3730.8631709029. The cubic root of 13919340 is about 240.5504725623.

It can be divided in two parts, 1391 and 9340, that added together give a triangular number (10731 = T146).

The spelling of 13919340 in words is "thirteen million, nine hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2053 2260 3390 4106 6159 6780 8212 10265 12318 20530 24636 30795 41060 61590 123180 231989 463978 695967 927956 1159945 1391934 2319890 2783868 3479835 4639780 6959670 13919340