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21427440 = 24351937127
BaseRepresentation
bin101000110111…
…1010011110000
31111022121220220
41101233103300
520441134230
62043133040
7350062446
oct121572360
944277826
1021427440
1111105831
127214180
134593078
142bbab96
151d33d10
hex146f4f0

21427440 has 160 divisors (see below), whose sum is σ = 72376320. Its totient is φ = 5225472.

The previous prime is 21427381. The next prime is 21427447. The reversal of 21427440 is 4472412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21427440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21427447) 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 31 ways as a sum of consecutive naturals, for example, 168657 + ... + 168783.

It is an arithmetic number, because the mean of its divisors is an integer number (452352).

Almost surely, 221427440 is an apocalyptic number.

21427440 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 21427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188160).

21427440 is an abundant number, since it is smaller than the sum of its proper divisors (50948880).

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

21427440 is a wasteful number, since it uses less digits than its factorization.

21427440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 21427440 is about 4628.9782889964. The cubic root of 21427440 is about 277.7517235415.

Adding to 21427440 its reverse (4472412), we get a palindrome (25899852).

The spelling of 21427440 in words is "twenty-one million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 37 38 40 48 57 60 74 76 80 95 111 114 120 127 148 152 185 190 222 228 240 254 285 296 304 370 380 381 444 456 508 555 570 592 635 703 740 760 762 888 912 1016 1110 1140 1270 1406 1480 1520 1524 1776 1905 2032 2109 2220 2280 2413 2540 2812 2960 3048 3515 3810 4218 4440 4560 4699 4826 5080 5624 6096 7030 7239 7620 8436 8880 9398 9652 10160 10545 11248 12065 14060 14097 14478 15240 16872 18796 19304 21090 23495 24130 28120 28194 28956 30480 33744 36195 37592 38608 42180 46990 48260 56240 56388 57912 70485 72390 75184 84360 89281 93980 96520 112776 115824 140970 144780 168720 178562 187960 193040 225552 267843 281940 289560 357124 375920 446405 535686 563880 579120 714248 892810 1071372 1127760 1339215 1428496 1785620 2142744 2678430 3571240 4285488 5356860 7142480 10713720 21427440