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21333780 = 22345131013
BaseRepresentation
bin101000101100…
…0011100010100
31111010212110000
41101120130110
520430140110
62041131300
7346222416
oct121303424
944125400
1021333780
1111051426
127189b30
13455c550
142b949b6
151d161c0
hex1458714

21333780 has 120 divisors (see below), whose sum is σ = 72144072. Its totient is φ = 5246208.

The previous prime is 21333779. The next prime is 21333839. The reversal of 21333780 is 8733312.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 20088324 = 1116^2 + 4482^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20554 + ... + 21566.

Almost surely, 221333780 is an apocalyptic number.

21333780 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 21333780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072036).

21333780 is an abundant number, since it is smaller than the sum of its proper divisors (50810292).

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

21333780 is a wasteful number, since it uses less digits than its factorization.

21333780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 21333780 is about 4618.8505063490. The cubic root of 21333780 is about 277.3464453603.

The spelling of 21333780 in words is "twenty-one million, three hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1013 1053 1170 1404 1620 1755 2026 2106 2340 3039 3510 4052 4212 5065 5265 6078 7020 9117 10130 10530 12156 13169 15195 18234 20260 21060 26338 27351 30390 36468 39507 45585 52676 54702 60780 65845 79014 82053 91170 109404 118521 131690 136755 158028 164106 182340 197535 237042 263380 273510 328212 355563 395070 410265 474084 547020 592605 711126 790140 820530 1066689 1185210 1422252 1641060 1777815 2133378 2370420 3555630 4266756 5333445 7111260 10666890 21333780