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21348120 = 2335732437
BaseRepresentation
bin101000101101…
…1111100011000
31111011121010010
41101123330120
520431114440
62041321520
7346312263
oct121337430
944147103
1021348120
1111061182
1271962a0
134565c31
142b99cda
151d1a580
hex145bf18

21348120 has 64 divisors (see below), whose sum is σ = 64948320. Its totient is φ = 5612544.

The previous prime is 21348101. The next prime is 21348127. The reversal of 21348120 is 2184312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21348127) 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 15 ways as a sum of consecutive naturals, for example, 7542 + ... + 9978.

Almost surely, 221348120 is an apocalyptic number.

21348120 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 21348120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474160).

21348120 is an abundant number, since it is smaller than the sum of its proper divisors (43600200).

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

21348120 is a wasteful number, since it uses less digits than its factorization.

21348120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21348120 is about 4620.4025798625. The cubic root of 21348120 is about 277.4085730790.

The spelling of 21348120 in words is "twenty-one million, three hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2437 2920 4380 4874 7311 8760 9748 12185 14622 19496 24370 29244 36555 48740 58488 73110 97480 146220 177901 292440 355802 533703 711604 889505 1067406 1423208 1779010 2134812 2668515 3558020 4269624 5337030 7116040 10674060 21348120