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55265130 = 23251741881
BaseRepresentation
bin1101001011010…
…0011101101010
310211222202111200
43102310131222
5103121441010
65252305030
71240513554
oct322643552
9124882450
1055265130
1129217568
1216612176
13b5aca7b
1474a84d4
154cb9cc0
hex34b476a

55265130 has 96 divisors (see below), whose sum is σ = 156029328. Its totient is φ = 13516800.

The previous prime is 55265107. The next prime is 55265131. The reversal of 55265130 is 3156255.

55265130 is a `hidden beast` number, since 5 + 5 + 2 + 651 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8520561 + 46744569 = 2919^2 + 6837^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55265094 and 55265103.

It is not an unprimeable number, because it can be changed into a prime (55265131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62290 + ... + 63170.

Almost surely, 255265130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55265130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78014664).

55265130 is an abundant number, since it is smaller than the sum of its proper divisors (100764198).

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

55265130 is a wasteful number, since it uses less digits than its factorization.

55265130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55265130 is about 7434.0520579291. The cubic root of 55265130 is about 380.9053436294.

The spelling of 55265130 in words is "fifty-five million, two hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 205 246 255 306 369 410 510 615 697 738 765 881 1230 1394 1530 1762 1845 2091 2643 3485 3690 4182 4405 5286 6273 6970 7929 8810 10455 12546 13215 14977 15858 20910 26430 29954 31365 36121 39645 44931 62730 72242 74885 79290 89862 108363 134793 149770 180605 216726 224655 269586 325089 361210 449310 541815 614057 650178 673965 1083630 1228114 1347930 1625445 1842171 3070285 3250890 3684342 5526513 6140570 9210855 11053026 18421710 27632565 55265130