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24969420 = 223257219149
BaseRepresentation
bin101111101000…
…0000011001100
31201222120121100
41133100003030
522343010140
62251103100
7422144100
oct137200314
951876540
1024969420
1113104993
128441a90
135233308
14345d900
1522d3530
hex17d00cc

24969420 has 216 divisors, whose sum is σ = 93366000. Its totient is φ = 5370624.

The previous prime is 24969419. The next prime is 24969457. The reversal of 24969420 is 2496942.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 167506 + ... + 167654.

It is an arithmetic number, because the mean of its divisors is an integer number (432250).

Almost surely, 224969420 is an apocalyptic number.

24969420 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 24969420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683000).

24969420 is an abundant number, since it is smaller than the sum of its proper divisors (68396580).

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

24969420 is a wasteful number, since it uses less digits than its factorization.

24969420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 24969420 is about 4996.9410642912. The cubic root of 24969420 is about 292.2825032276.

The spelling of 24969420 in words is "twenty-four million, nine hundred sixty-nine thousand, four hundred twenty".