Search a number
-
+
1230166440 = 23345379681
BaseRepresentation
bin100100101010010…
…1101100110101000
310011201202221010000
41021110231212220
510004410311230
6322022423000
742325146036
oct11124554650
93151687100
101230166440
11581440288
122a3b91a60
13167b27149
14b9543556
1572ee8b60
hex4952d9a8

1230166440 has 80 divisors (see below), whose sum is σ = 4134736980. Its totient is φ = 328043520.

The previous prime is 1230166439. The next prime is 1230166447. The reversal of 1230166440 is 446610321.

1230166440 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 16 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1124529156 + 105637284 = 33534^2 + 10278^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1230166447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186601 + ... + 193080.

Almost surely, 21230166440 is an apocalyptic number.

1230166440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230166440 is an abundant number, since it is smaller than the sum of its proper divisors (2904570540).

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

1230166440 is a wasteful number, since it uses less digits than its factorization.

1230166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379704 (or 379691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1230166440 is about 35073.7286298449. The cubic root of 1230166440 is about 1071.4895956100.

Adding to 1230166440 its reverse (446610321), we get a palindrome (1676776761).

The spelling of 1230166440 in words is "one billion, two hundred thirty million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 379681 759362 1139043 1518724 1898405 2278086 3037448 3417129 3796810 4556172 5695215 6834258 7593620 9112344 10251387 11390430 13668516 15187240 17085645 20502774 22780860 27337032 30754161 34171290 41005548 45561720 51256935 61508322 68342580 82011096 102513870 123016644 136685160 153770805 205027740 246033288 307541610 410055480 615083220 1230166440