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20468970 = 2335471613
BaseRepresentation
bin100111000010…
…1010011101010
31102111221011000
41032011103222
520220001340
62010415430
7335661204
oct116052352
942457130
1020468970
1110610705
126a31576
134318a22
142a0b774
151be4d30
hex13854ea

20468970 has 64 divisors (see below), whose sum is σ = 55779840. Its totient is φ = 5338944.

The previous prime is 20468957. The next prime is 20468999. The reversal of 20468970 is 7986402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11884 + ... + 13496.

It is an arithmetic number, because the mean of its divisors is an integer number (871560).

Almost surely, 220468970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20468970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27889920).

20468970 is an abundant number, since it is smaller than the sum of its proper divisors (35310870).

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

20468970 is a wasteful number, since it uses less digits than its factorization.

20468970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20468970 is about 4524.2645811225. The cubic root of 20468970 is about 273.5470253700.

The spelling of 20468970 in words is "twenty million, four hundred sixty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 1613 2115 2538 3226 4230 4839 6345 8065 9678 12690 14517 16130 24195 29034 43551 48390 72585 75811 87102 145170 151622 217755 227433 379055 435510 454866 682299 758110 1137165 1364598 2046897 2274330 3411495 4093794 6822990 10234485 20468970