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1230440130 = 232529895297
BaseRepresentation
bin100100101010111…
…0000011011000010
310011202021211112200
41021111300123002
510004443041010
6322032334030
742330366003
oct11125603302
93152254480
101230440130
11581607977
122a40a4316
13167bc18aa
14b95b51aa
157304ecc0
hex495706c2

1230440130 has 96 divisors (see below), whose sum is σ = 3347276400. Its totient is φ = 313184256.

The previous prime is 1230440111. The next prime is 1230440137. The reversal of 1230440130 is 310440321.

1230440130 is a `hidden beast` number, since 1 + 230 + 4 + 401 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 549386721 + 681053409 = 23439^2 + 26097^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1230440137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229642 + ... + 234938.

Almost surely, 21230440130 is an apocalyptic number.

1230440130 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 1230440130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673638200).

1230440130 is an abundant number, since it is smaller than the sum of its proper divisors (2116836270).

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

1230440130 is a wasteful number, since it uses less digits than its factorization.

1230440130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1230440130 is about 35077.6300510739. The cubic root of 1230440130 is about 1071.5690521324.

Adding to 1230440130 its reverse (310440321), we get a palindrome (1540880451).

The spelling of 1230440130 in words is "one billion, two hundred thirty million, four hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 89 90 145 174 178 261 267 290 435 445 522 534 801 870 890 1305 1335 1602 2581 2610 2670 4005 5162 5297 7743 8010 10594 12905 15486 15891 23229 25810 26485 31782 38715 46458 47673 52970 77430 79455 95346 116145 153613 158910 232290 238365 307226 460839 471433 476730 768065 921678 942866 1382517 1414299 1536130 2304195 2357165 2765034 2828598 4242897 4608390 4714330 6912585 7071495 8485794 13671557 13825170 14142990 21214485 27343114 41014671 42428970 68357785 82029342 123044013 136715570 205073355 246088026 410146710 615220065 1230440130