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20971530 = 2325435419
BaseRepresentation
bin101000000000…
…0000000001010
31110110110112100
41100000000022
520332042110
62025254230
7343153326
oct120000012
943413470
1020971530
1110924248
127034376
1344636b8
142adc986
151c93bc0
hex140000a

20971530 has 48 divisors (see below), whose sum is σ = 55804320. Its totient is φ = 5461344.

The previous prime is 20971529. The next prime is 20971537. The reversal of 20971530 is 3517902.

20971530 = 20462 + 20472 + ... + 20502.

It is a Curzon number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 20971494 and 20971503.

It is not an unprimeable number, because it can be changed into a prime (20971537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (1162590).

Almost surely, 220971530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20971530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902160).

20971530 is an abundant number, since it is smaller than the sum of its proper divisors (34832790).

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

20971530 is a wasteful number, since it uses less digits than its factorization.

20971530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5472 counting only the distinct ones).

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

The square root of 20971530 is about 4579.4683097495. The cubic root of 20971530 is about 275.7676841562.

The spelling of 20971530 in words is "twenty million, nine hundred seventy-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 5419 10838 16257 27095 32514 48771 54190 81285 97542 162570 233017 243855 466034 487710 699051 1165085 1398102 2097153 2330170 3495255 4194306 6990510 10485765 20971530