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21849420 = 22351731691
BaseRepresentation
bin101001101011…
…0010101001100
31112010001202210
41103112111030
521043140140
62100150420
7353500635
oct123262514
945101683
1021849420
111137387a
127398410
1346b0168
142c8a88c
151db8d80
hex14d654c

21849420 has 96 divisors (see below), whose sum is σ = 66963456. Its totient is φ = 5299200.

The previous prime is 21849419. The next prime is 21849427. The reversal of 21849420 is 2494812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21849427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31275 + ... + 31965.

It is an arithmetic number, because the mean of its divisors is an integer number (697536).

Almost surely, 221849420 is an apocalyptic number.

21849420 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 21849420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33481728).

21849420 is an abundant number, since it is smaller than the sum of its proper divisors (45114036).

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

21849420 is a wasteful number, since it uses less digits than its factorization.

21849420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21849420 is about 4674.3363165267. The cubic root of 21849420 is about 279.5631794264.

Subtracting from 21849420 its product of nonzero digits (4608), we obtain a palindrome (21844812).

The spelling of 21849420 in words is "twenty-one million, eight hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 691 930 1020 1054 1382 1581 1860 2073 2108 2635 2764 3162 3455 4146 5270 6324 6910 7905 8292 10365 10540 11747 13820 15810 20730 21421 23494 31620 35241 41460 42842 46988 58735 64263 70482 85684 107105 117470 128526 140964 176205 214210 234940 257052 321315 352410 364157 428420 642630 704820 728314 1092471 1285260 1456628 1820785 2184942 3641570 4369884 5462355 7283140 10924710 21849420