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21375270 = 23257237131
BaseRepresentation
bin101000110001…
…0100100100110
31111012222100200
41101202210212
520433002040
62042051330
7346454400
oct121424446
944188320
1021375270
111107a614
1271a9b46
1345753b7
142ba5b70
151d23630
hex1462926

21375270 has 144 divisors (see below), whose sum is σ = 66903408. Its totient is φ = 4717440.

The previous prime is 21375253. The next prime is 21375293. The reversal of 21375270 is 7257312.

21375270 is a `hidden beast` number, since 2 + 137 + 527 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163105 + ... + 163235.

It is an arithmetic number, because the mean of its divisors is an integer number (464607).

Almost surely, 221375270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21375270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33451704).

21375270 is an abundant number, since it is smaller than the sum of its proper divisors (45528138).

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

21375270 is a wasteful number, since it uses less digits than its factorization.

21375270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 21375270 is about 4623.3397019903. The cubic root of 21375270 is about 277.5261236668.

The spelling of 21375270 in words is "twenty-one million, three hundred seventy-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 49 63 70 74 90 98 105 111 126 131 147 185 210 222 245 259 262 294 315 333 370 393 441 490 518 555 630 655 666 735 777 786 882 917 1110 1179 1295 1310 1470 1554 1665 1813 1834 1965 2205 2331 2358 2590 2751 3330 3626 3885 3930 4410 4585 4662 4847 5439 5502 5895 6419 7770 8253 9065 9170 9694 10878 11655 11790 12838 13755 14541 16317 16506 18130 19257 23310 24235 27195 27510 29082 32095 32634 33929 38514 41265 43623 48470 54390 57771 64190 67858 72705 81585 82530 87246 96285 101787 115542 145410 163170 169645 192570 203574 218115 237503 288855 305361 339290 436230 475006 508935 577710 610722 712509 1017870 1187515 1425018 1526805 2137527 2375030 3053610 3562545 4275054 7125090 10687635 21375270