Search a number
-
+
20752970 = 2572411033
BaseRepresentation
bin100111100101…
…0101001001010
31110001100201112
41033022221022
520303043340
62020450322
7341253200
oct117125112
943040645
1020752970
1110795017
126b499a2
1343b8084
142a83070
151c4e065
hex13caa4a

20752970 has 48 divisors (see below), whose sum is σ = 44557128. Its totient is φ = 6935040.

The previous prime is 20752957. The next prime is 20752973. The reversal of 20752970 is 7925702.

It can be written as a sum of positive squares in 4 ways, for example, as 16883881 + 3869089 = 4109^2 + 1967^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20752973) 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, 19574 + ... + 20606.

Almost surely, 220752970 is an apocalyptic number.

20752970 is an abundant number, since it is smaller than the sum of its proper divisors (23804158).

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

20752970 is a wasteful number, since it uses less digits than its factorization.

20752970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 20752970 is about 4555.5427777599. The cubic root of 20752970 is about 274.8063429962.

The spelling of 20752970 in words is "twenty million, seven hundred fifty-two thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1033 1435 2009 2066 2870 4018 5165 7231 10045 10330 14462 20090 36155 42353 50617 72310 84706 101234 211765 253085 296471 423530 506170 592942 1482355 2075297 2964710 4150594 10376485 20752970