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1230132440 = 2352910091051
BaseRepresentation
bin100100101010010…
…0101010011011000
310011201201012110202
41021110211103120
510004403214230
6322022001332
742324644645
oct11124452330
93151635422
101230132440
11581417789
122a3b76248
13167b14824
14b9534dcc
1572edda45
hex495254d8

1230132440 has 64 divisors (see below), whose sum is σ = 2868804000. Its totient is φ = 474163200.

The previous prime is 1230132413. The next prime is 1230132443. The reversal of 1230132440 is 442310321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230132443) 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 15 ways as a sum of consecutive naturals, for example, 1169915 + ... + 1170965.

Almost surely, 21230132440 is an apocalyptic number.

1230132440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434402000).

1230132440 is an abundant number, since it is smaller than the sum of its proper divisors (1638671560).

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

1230132440 is a wasteful number, since it uses less digits than its factorization.

1230132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1230132440 is about 35073.2439332321. The cubic root of 1230132440 is about 1071.4797240509.

Adding to 1230132440 its reverse (442310321), we get a palindrome (1672442761).

The spelling of 1230132440 in words is "one billion, two hundred thirty million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1009 1051 1160 2018 2102 4036 4204 5045 5255 8072 8408 10090 10510 20180 21020 29261 30479 40360 42040 58522 60958 117044 121916 146305 152395 234088 243832 292610 304790 585220 609580 1060459 1170440 1219160 2120918 4241836 5302295 8483672 10604590 21209180 30753311 42418360 61506622 123013244 153766555 246026488 307533110 615066220 1230132440