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21377120 = 2552337157
BaseRepresentation
bin101000110001…
…1000001100000
31111020001220012
41101203001200
520433031440
62042104052
7346462652
oct121430140
944201805
1021377120
1111080a46
1271ab028
1345761ab
142ba66d2
151d23e65
hex1463060

21377120 has 96 divisors (see below), whose sum is σ = 54468288. Its totient is φ = 7907328.

The previous prime is 21377119. The next prime is 21377129. The reversal of 21377120 is 2177312.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21377129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136082 + ... + 136238.

It is an arithmetic number, because the mean of its divisors is an integer number (567378).

Almost surely, 221377120 is an apocalyptic number.

21377120 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 21377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27234144).

21377120 is an abundant number, since it is smaller than the sum of its proper divisors (33091168).

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

21377120 is a wasteful number, since it uses less digits than its factorization.

21377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 21377120 is about 4623.5397694840. The cubic root of 21377120 is about 277.5341299363.

The spelling of 21377120 in words is "twenty-one million, three hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 74 80 92 115 148 157 160 184 185 230 296 314 368 370 460 592 628 736 740 785 851 920 1184 1256 1480 1570 1702 1840 2512 2960 3140 3404 3611 3680 4255 5024 5809 5920 6280 6808 7222 8510 11618 12560 13616 14444 17020 18055 23236 25120 27232 28888 29045 34040 36110 46472 57776 58090 68080 72220 92944 115552 116180 133607 136160 144440 185888 232360 267214 288880 464720 534428 577760 668035 929440 1068856 1336070 2137712 2672140 4275424 5344280 10688560 21377120