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13900040 = 2357114513
BaseRepresentation
bin110101000001…
…100100001000
3222011012021022
4311001210020
512024300130
61213532012
7226101620
oct65014410
928135238
1013900040
117934340
1247a4008
132b58a9b
141bbb880
1513487e5
hexd41908

13900040 has 64 divisors (see below), whose sum is σ = 39000960. Its totient is φ = 4331520.

The previous prime is 13900013. The next prime is 13900043. The reversal of 13900040 is 4000931.

It is a super-2 number, since 2×139000402 = 386422224003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13899991 and 13900018.

It is not an unprimeable number, because it can be changed into a prime (13900043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824 + ... + 5336.

It is an arithmetic number, because the mean of its divisors is an integer number (609390).

Almost surely, 213900040 is an apocalyptic number.

13900040 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 13900040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500480).

13900040 is an abundant number, since it is smaller than the sum of its proper divisors (25100920).

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

13900040 is a wasteful number, since it uses less digits than its factorization.

13900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13900040 is about 3728.2757408754. The cubic root of 13900040 is about 240.4392419165.

Adding to 13900040 its reverse (4000931), we get a palindrome (17900971).

The spelling of 13900040 in words is "thirteen million, nine hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4513 9026 18052 22565 31591 36104 45130 49643 63182 90260 99286 126364 157955 180520 198572 248215 252728 315910 347501 397144 496430 631820 695002 992860 1263640 1390004 1737505 1985720 2780008 3475010 6950020 13900040