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1066137030 = 232574493769
BaseRepresentation
bin111111100010111…
…111010111000110
32202022010101001200
4333202333113012
54140412341110
6253443003330
735264005140
oct7742772706
92668111050
101066137030
114a7896592
12259069546
1313cb5561a
14a1845c90
15638e76c0
hex3f8bf5c6

1066137030 has 96 divisors (see below), whose sum is σ = 3175848000. Its totient is φ = 243081216.

The previous prime is 1066136993. The next prime is 1066137047. The reversal of 1066137030 is 307316601.

1066137030 is a `hidden beast` number, since 10 + 6 + 613 + 7 + 0 + 30 = 666.

It is a super-2 number, since 2×10661370302 = 2273296333474441800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1066136985 and 1066137003.

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, 280986 + ... + 284754.

It is an arithmetic number, because the mean of its divisors is an integer number (33081750).

Almost surely, 21066137030 is an apocalyptic number.

1066137030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066137030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587924000).

1066137030 is an abundant number, since it is smaller than the sum of its proper divisors (2109710970).

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

1066137030 is a wasteful number, since it uses less digits than its factorization.

1066137030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1066137030 is about 32651.7538579477. The cubic root of 1066137030 is about 1021.5767712050.

The spelling of 1066137030 in words is "one billion, sixty-six million, one hundred thirty-seven thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 449 630 898 1347 2245 2694 3143 3769 4041 4490 6286 6735 7538 8082 9429 11307 13470 15715 18845 18858 20205 22614 26383 28287 31430 33921 37690 40410 47145 52766 56535 56574 67842 79149 94290 113070 131915 141435 158298 169605 237447 263830 282870 339210 395745 474894 791490 1187235 1692281 2374470 3384562 5076843 8461405 10153686 11845967 15230529 16922810 23691934 25384215 30461058 35537901 50768430 59229835 71075802 76152645 106613703 118459670 152305290 177689505 213227406 355379010 533068515 1066137030