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21127920 = 24351153151
BaseRepresentation
bin101000010011…
…0001011110000
31110202102001120
41100212023300
520402043140
62032502240
7344404302
oct120461360
943672046
1021127920
1110a207a0
1270aa980
1344b9938
142b3d972
151cc51d0
hex14262f0

21127920 has 160 divisors (see below), whose sum is σ = 73281024. Its totient is φ = 4992000.

The previous prime is 21127913. The next prime is 21127927. The reversal of 21127920 is 2972112.

It is an interprime number because it is at equal distance from previous prime (21127913) and next prime (21127927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21127927) 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, 139845 + ... + 139995.

Almost surely, 221127920 is an apocalyptic number.

21127920 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 21127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512).

21127920 is an abundant number, since it is smaller than the sum of its proper divisors (52153104).

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

21127920 is a wasteful number, since it uses less digits than its factorization.

21127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 21127920 is about 4596.5117208596. The cubic root of 21127920 is about 276.4514769985.

The spelling of 21127920 in words is "twenty-one million, one hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 151 159 165 176 212 220 240 264 265 302 318 330 424 440 453 528 530 583 604 636 660 755 795 848 880 906 1060 1166 1208 1272 1320 1510 1590 1661 1749 1812 2120 2265 2332 2416 2544 2640 2915 3020 3180 3322 3498 3624 4240 4530 4664 4983 5830 6040 6360 6644 6996 7248 8003 8305 8745 9060 9328 9966 11660 12080 12720 13288 13992 16006 16610 17490 18120 19932 23320 24009 24915 26576 27984 32012 33220 34980 36240 39864 40015 46640 48018 49830 64024 66440 69960 79728 80030 88033 96036 99660 120045 128048 132880 139920 160060 176066 192072 199320 240090 264099 320120 352132 384144 398640 440165 480180 528198 640240 704264 880330 960360 1056396 1320495 1408528 1760660 1920720 2112792 2640990 3521320 4225584 5281980 7042640 10563960 21127920