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13942008 = 2332832333
BaseRepresentation
bin110101001011…
…110011111000
3222020022211200
4311023303320
512032121013
61214454200
7226335153
oct65136370
928208750
1013942008
117962923
124804360
132b71c12
141bccc9a
151355e73
hexd4bcf8

13942008 has 48 divisors (see below), whose sum is σ = 38230920. Its totient is φ = 4589376.

The previous prime is 13942003. The next prime is 13942013. The reversal of 13942008 is 80024931.

It is an interprime number because it is at equal distance from previous prime (13942003) and next prime (13942013).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4810 + ... + 7142.

Almost surely, 213942008 is an apocalyptic number.

13942008 is a gapful number since it is divisible by the number (18) 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 13942008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115460).

13942008 is an abundant number, since it is smaller than the sum of its proper divisors (24288912).

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

13942008 is a wasteful number, since it uses less digits than its factorization.

13942008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13942008 is about 3733.8998379710. The cubic root of 13942008 is about 240.6809826004.

Adding to 13942008 its reverse (80024931), we get a palindrome (93966939).

The spelling of 13942008 in words is "thirteen million, nine hundred forty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2333 2988 4666 5976 6999 9332 13998 18664 20997 27996 41994 55992 83988 167976 193639 387278 580917 774556 1161834 1549112 1742751 2323668 3485502 4647336 6971004 13942008