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21439040 = 265717563
BaseRepresentation
bin101000111001…
…0001001000000
31111100012211112
41101302021000
520442022130
62043302452
7350141330
oct121621100
944305745
1021439040
1111113517
12721aa28
13459842c
142bc10c0
151d37495
hex1472240

21439040 has 112 divisors (see below), whose sum is σ = 61886592. Its totient is φ = 6905856.

The previous prime is 21438961. The next prime is 21439079. The reversal of 21439040 is 4093412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×214390402 = 919264872243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21438997 and 21439015.

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, 37799 + ... + 38361.

Almost surely, 221439040 is an apocalyptic number.

21439040 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 21439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943296).

21439040 is an abundant number, since it is smaller than the sum of its proper divisors (40447552).

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

21439040 is a wasteful number, since it uses less digits than its factorization.

21439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 21439040 is about 4630.2310957446. The cubic root of 21439040 is about 277.8018359015.

The spelling of 21439040 in words is "twenty-one million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 563 595 680 952 1088 1120 1126 1190 1360 1904 2240 2252 2380 2720 2815 3808 3941 4504 4760 5440 5630 7616 7882 9008 9520 9571 11260 15764 18016 19040 19142 19705 22520 31528 36032 38080 38284 39410 45040 47855 63056 66997 76568 78820 90080 95710 126112 133994 153136 157640 180160 191420 252224 267988 306272 315280 334985 382840 535976 612544 630560 669970 765680 1071952 1261120 1339940 1531360 2143904 2679880 3062720 4287808 5359760 10719520 21439040