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15420700 = 22521747193
BaseRepresentation
bin111010110100…
…110100011100
31002000110020001
4322310310130
512421430300
61310304044
7245034211
oct72646434
932013201
1015420700
118782889
1251b8024
13326bc99
142095b08
15154916a
hexeb4d1c

15420700 has 72 divisors (see below), whose sum is σ = 36372672. Its totient is φ = 5652480.

The previous prime is 15420677. The next prime is 15420707. The reversal of 15420700 is 702451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15420707) 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, 79804 + ... + 79996.

It is an arithmetic number, because the mean of its divisors is an integer number (505176).

Almost surely, 215420700 is an apocalyptic number.

15420700 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 15420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186336).

15420700 is an abundant number, since it is smaller than the sum of its proper divisors (20951972).

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

15420700 is a wasteful number, since it uses less digits than its factorization.

15420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 15420700 is about 3926.9199126033. The cubic root of 15420700 is about 248.9056162877.

Subtracting from 15420700 its sum of digits (19), we obtain a triangular number (15420681 = T5553).

The spelling of 15420700 in words is "fifteen million, four hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 193 235 340 386 425 470 772 799 850 940 965 1175 1598 1700 1930 2350 3196 3281 3860 3995 4700 4825 6562 7990 9071 9650 13124 15980 16405 18142 19300 19975 32810 36284 39950 45355 65620 79900 82025 90710 154207 164050 181420 226775 308414 328100 453550 616828 771035 907100 1542070 3084140 3855175 7710350 15420700