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21970260 = 223251341229
BaseRepresentation
bin101001111001…
…1110101010100
31112100012112100
41103303311110
521111022020
62102522100
7354513144
oct123636524
945305470
1021970260
1111446644
127436330
134723170
142cbc924
151ddea90
hex14f3d54

21970260 has 144 divisors (see below), whose sum is σ = 73841040. Its totient is φ = 5253120.

The previous prime is 21970229. The next prime is 21970271. The reversal of 21970260 is 6207912.

It can be written as a sum of positive squares in 8 ways, for example, as 1774224 + 20196036 = 1332^2 + 4494^2 .

It is a zygodrome in base 11.

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, 95826 + ... + 96054.

It is an arithmetic number, because the mean of its divisors is an integer number (512785).

Almost surely, 221970260 is an apocalyptic number.

21970260 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 21970260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36920520).

21970260 is an abundant number, since it is smaller than the sum of its proper divisors (51870780).

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

21970260 is a wasteful number, since it uses less digits than its factorization.

21970260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21970260 is about 4687.2443930309. The cubic root of 21970260 is about 280.0776145381.

The spelling of 21970260 in words is "twenty-one million, nine hundred seventy thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 229 234 246 260 369 390 410 458 468 492 533 585 615 687 738 780 820 916 1066 1145 1170 1230 1374 1476 1599 1845 2061 2132 2290 2340 2460 2665 2748 2977 3198 3435 3690 4122 4580 4797 5330 5954 6396 6870 7380 7995 8244 8931 9389 9594 10305 10660 11908 13740 14885 15990 17862 18778 19188 20610 23985 26793 28167 29770 31980 35724 37556 41220 44655 46945 47970 53586 56334 59540 84501 89310 93890 95940 107172 112668 122057 133965 140835 169002 178620 187780 244114 267930 281670 338004 366171 422505 488228 535860 563340 610285 732342 845010 1098513 1220570 1464684 1690020 1830855 2197026 2441140 3661710 4394052 5492565 7323420 10985130 21970260