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15423940 = 2257292131
BaseRepresentation
bin111010110101…
…100111000100
31002000121200001
4322311213010
512422031230
61310331044
7245046520
oct72654704
932017601
1015423940
118785264
1251b9a84
1332705bc
142096d80
15154a0ca
hexeb59c4

15423940 has 72 divisors (see below), whose sum is σ = 38630592. Its totient is φ = 5066880.

The previous prime is 15423929. The next prime is 15423949. The reversal of 15423940 is 4932451.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 15423899 and 15423908.

It is not an unprimeable number, because it can be changed into a prime (15423949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117675 + ... + 117805.

It is an arithmetic number, because the mean of its divisors is an integer number (536536).

Almost surely, 215423940 is an apocalyptic number.

15423940 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 15423940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19315296).

15423940 is an abundant number, since it is smaller than the sum of its proper divisors (23206652).

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

15423940 is a wasteful number, since it uses less digits than its factorization.

15423940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 15423940 is about 3927.3324279974. The cubic root of 15423940 is about 248.9230473537.

The spelling of 15423940 in words is "fifteen million, four hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 131 140 145 203 262 290 406 524 580 655 812 841 917 1015 1310 1682 1834 2030 2620 3364 3668 3799 4060 4205 4585 5887 7598 8410 9170 11774 15196 16820 18340 18995 23548 26593 29435 37990 53186 58870 75980 106372 110171 117740 132965 220342 265930 440684 531860 550855 771197 1101710 1542394 2203420 3084788 3855985 7711970 15423940