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24315420 = 22351273191
BaseRepresentation
bin101110011000…
…0011000011100
31200202100111010
41130300120130
522211043140
62225055220
7413451303
oct134603034
950670433
1024315420
11127a8598
128187510
13506472c
14332d43a
152204880
hex173061c

24315420 has 48 divisors (see below), whose sum is σ = 68640768. Its totient is φ = 6431040.

The previous prime is 24315413. The next prime is 24315433. The reversal of 24315420 is 2451342.

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, 6025 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (1430016).

Almost surely, 224315420 is an apocalyptic number.

24315420 is a gapful number since it is divisible by the number (20) 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 24315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320384).

24315420 is an abundant number, since it is smaller than the sum of its proper divisors (44325348).

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

24315420 is a wasteful number, since it uses less digits than its factorization.

24315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 24315420 is about 4931.0668216928. The cubic root of 24315420 is about 289.7080692842.

Adding to 24315420 its reverse (2451342), we get a palindrome (26766762).

The spelling of 24315420 in words is "twenty-four million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3191 3810 6382 7620 9573 12764 15955 19146 31910 38292 47865 63820 95730 191460 405257 810514 1215771 1621028 2026285 2431542 4052570 4863084 6078855 8105140 12157710 24315420