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21957030 = 232517113127
BaseRepresentation
bin101001111000…
…0100110100110
31112022112101100
41103300212212
521110111110
62102340530
7354426444
oct123604646
945275340
1021957030
1111437707
12742a746
13471a134
142cb7b94
151ddabc0
hex14f09a6

21957030 has 96 divisors (see below), whose sum is σ = 61461504. Its totient is φ = 5419008.

The previous prime is 21956983. The next prime is 21957043. The reversal of 21957030 is 3075912.

It is a super-3 number, since 3×219570303 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21956985 and 21957003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172827 + ... + 172953.

It is an arithmetic number, because the mean of its divisors is an integer number (640224).

Almost surely, 221957030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21957030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30730752).

21957030 is an abundant number, since it is smaller than the sum of its proper divisors (39504474).

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

21957030 is a wasteful number, since it uses less digits than its factorization.

21957030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 21957030 is about 4685.8329035509. The cubic root of 21957030 is about 280.0213844212.

The spelling of 21957030 in words is "twenty-one million, nine hundred fifty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 113 127 153 170 226 254 255 306 339 381 510 565 635 678 762 765 1017 1130 1143 1270 1530 1695 1905 1921 2034 2159 2286 3390 3810 3842 4318 5085 5715 5763 6477 9605 10170 10795 11430 11526 12954 14351 17289 19210 19431 21590 28702 28815 32385 34578 38862 43053 57630 64770 71755 86106 86445 97155 129159 143510 172890 194310 215265 243967 258318 430530 487934 645795 731901 1219835 1291590 1463802 2195703 2439670 3659505 4391406 7319010 10978515 21957030