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15214940 = 22513139421
BaseRepresentation
bin111010000010…
…100101011100
31001121222222022
4322002211130
512343334230
61302035312
7243216266
oct72024534
931558868
1015214940
118652234
125118b38
1331c9430
142040b36
1515081e5
hexe8295c

15214940 has 48 divisors (see below), whose sum is σ = 34739040. Its totient is φ = 5564160.

The previous prime is 15214939. The next prime is 15214951. The reversal of 15214940 is 4941251.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 35930 + ... + 36350.

It is an arithmetic number, because the mean of its divisors is an integer number (723730).

Almost surely, 215214940 is an apocalyptic number.

15214940 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 15214940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369520).

15214940 is an abundant number, since it is smaller than the sum of its proper divisors (19524100).

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

15214940 is a wasteful number, since it uses less digits than its factorization.

15214940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 15214940 is about 3900.6332819172. The cubic root of 15214940 is about 247.7935977768.

The spelling of 15214940 in words is "fifteen million, two hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 421 556 695 842 1390 1684 1807 2105 2780 3614 4210 5473 7228 8420 9035 10946 18070 21892 27365 36140 54730 58519 109460 117038 234076 292595 585190 760747 1170380 1521494 3042988 3803735 7607470 15214940