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21213990 = 23257151223
BaseRepresentation
bin101000011101…
…1001100100110
31110220210010100
41100323030212
520412321430
62034404530
7345213240
oct120731446
943823110
1021213990
1110a7a426
127130746
134519b75
142b63090
151ce0960
hex143b326

21213990 has 96 divisors (see below), whose sum is σ = 63737856. Its totient is φ = 4795200.

The previous prime is 21213971. The next prime is 21213991. The reversal of 21213990 is 9931212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95019 + ... + 95241.

It is an arithmetic number, because the mean of its divisors is an integer number (663936).

Almost surely, 221213990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31868928).

21213990 is an abundant number, since it is smaller than the sum of its proper divisors (42523866).

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

21213990 is a wasteful number, since it uses less digits than its factorization.

21213990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 21213990 is about 4605.8647396553. The cubic root of 21213990 is about 276.8263670490.

The spelling of 21213990 in words is "twenty-one million, two hundred thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 223 302 315 446 453 630 669 755 906 1057 1115 1338 1359 1510 1561 2007 2114 2230 2265 2718 3122 3171 3345 4014 4530 4683 5285 6342 6690 6795 7805 9366 9513 10035 10570 13590 14049 15610 15855 19026 20070 23415 28098 31710 33673 46830 47565 67346 70245 95130 101019 140490 168365 202038 235711 303057 336730 471422 505095 606114 707133 1010190 1178555 1414266 1515285 2121399 2357110 3030570 3535665 4242798 7071330 10606995 21213990