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21349320 = 2335891999
BaseRepresentation
bin101000101110…
…0001111001000
31111011122202120
41101130033020
520431134240
62041331240
7346315626
oct121341710
944148676
1021349320
1111062073
127196b20
134566645
142b9a516
151d1aad0
hex145c3c8

21349320 has 64 divisors (see below), whose sum is σ = 64800000. Its totient is φ = 5626368.

The previous prime is 21349309. The next prime is 21349337. The reversal of 21349320 is 2394312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9681 + ... + 11679.

It is an arithmetic number, because the mean of its divisors is an integer number (1012500).

Almost surely, 221349320 is an apocalyptic number.

21349320 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 21349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400000).

21349320 is an abundant number, since it is smaller than the sum of its proper divisors (43450680).

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

21349320 is a wasteful number, since it uses less digits than its factorization.

21349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 21349320 is about 4620.5324368518. The cubic root of 21349320 is about 277.4137707896.

The spelling of 21349320 in words is "twenty-one million, three hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 1999 2136 2670 3560 3998 5340 5997 7996 9995 10680 11994 15992 19990 23988 29985 39980 47976 59970 79960 119940 177911 239880 355822 533733 711644 889555 1067466 1423288 1779110 2134932 2668665 3558220 4269864 5337330 7116440 10674660 21349320