Search a number
-
+
11004927030 = 2335142328643
BaseRepresentation
bin10100011111111000…
…11101110000110110
31001101221201012212000
422033330131300312
5140014230131110
65020001440130
7536466223236
oct121774356066
931357635760
1011004927030
114737aa3619
122171640046
131064c61156
147657d3cc6
154462141c0
hex28ff1dc36

11004927030 has 64 divisors (see below), whose sum is σ = 29368120320. Its totient is φ = 2932482528.

The previous prime is 11004926993. The next prime is 11004927071. The reversal of 11004927030 is 3072940011.

11004927030 is a `hidden beast` number, since 1 + 100 + 492 + 70 + 3 + 0 = 666.

It is a super-2 number, since 2×110049270302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11004926985 and 11004927003.

It is a congruent number.

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, 369889 + ... + 398531.

It is an arithmetic number, because the mean of its divisors is an integer number (458876880).

Almost surely, 211004927030 is an apocalyptic number.

11004927030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11004927030 is an abundant number, since it is smaller than the sum of its proper divisors (18363193290).

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

11004927030 is a wasteful number, since it uses less digits than its factorization.

11004927030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30082 (or 30076 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11004927030 in words is "eleven billion, four million, nine hundred twenty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1423 2846 4269 7115 8538 12807 14230 21345 25614 28643 38421 42690 57286 64035 76842 85929 128070 143215 171858 192105 257787 286430 384210 429645 515574 773361 859290 1288935 1546722 2577870 3866805 7733610 40758989 81517978 122276967 203794945 244553934 366830901 407589890 611384835 733661802 1100492703 1222769670 1834154505 2200985406 3668309010 5502463515 11004927030