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10014940 = 2251322963
BaseRepresentation
bin100110001101…
…000011011100
3200211210220201
4212031003130
510030434230
6554353244
7151061035
oct46150334
920753821
1010014940
115720411
12342b824
1320c8600
141489a8c
15d2c5ca
hex98d0dc

10014940 has 36 divisors (see below), whose sum is σ = 22781304. Its totient is φ = 3696576.

The previous prime is 10014937. The next prime is 10014941. The reversal of 10014940 is 4941001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014941) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1899 + ... + 4861.

It is an arithmetic number, because the mean of its divisors is an integer number (632814).

Almost surely, 210014940 is an apocalyptic number.

10014940 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 10014940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390652).

10014940 is an abundant number, since it is smaller than the sum of its proper divisors (12766364).

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

10014940 is a wasteful number, since it uses less digits than its factorization.

10014940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10014940 is about 3164.6389999493. The cubic root of 10014940 is about 215.5507064642.

Adding to 10014940 its reverse (4941001), we get a palindrome (14955941).

The spelling of 10014940 in words is "ten million, fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2963 3380 5926 11852 14815 29630 38519 59260 77038 154076 192595 385190 500747 770380 1001494 2002988 2503735 5007470 10014940