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21151920 = 2435312843
BaseRepresentation
bin101000010110…
…0000010110000
31110210121222110
41100230002300
520403330140
62033205320
7344534256
oct120540260
943717873
1021151920
1110a37829
127100840
1344c783a
142b485d6
151ccc380
hex142c0b0

21151920 has 80 divisors (see below), whose sum is σ = 67709952. Its totient is φ = 5456640.

The previous prime is 21151919. The next prime is 21151937. The reversal of 21151920 is 2915112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6019 + ... + 8861.

Almost surely, 221151920 is an apocalyptic number.

21151920 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 21151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33854976).

21151920 is an abundant number, since it is smaller than the sum of its proper divisors (46558032).

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

21151920 is a wasteful number, since it uses less digits than its factorization.

21151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 21151920 is about 4599.1216552729. The cubic root of 21151920 is about 276.5561146025.

The spelling of 21151920 in words is "twenty-one million, one hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 2843 3720 5686 7440 8529 11372 14215 17058 22744 28430 34116 42645 45488 56860 68232 85290 88133 113720 136464 170580 176266 227440 264399 341160 352532 440665 528798 682320 705064 881330 1057596 1321995 1410128 1762660 2115192 2643990 3525320 4230384 5287980 7050640 10575960 21151920