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1230430152 = 233722332843
BaseRepresentation
bin100100101010110…
…1101111111001000
310011202021022212010
41021111231333020
510004442231102
6322032215520
742330324630
oct11125557710
93152238763
101230430152
11581600426
122a409a5a0
13167bba1a3
14b95b16c0
157304bd6c
hex4956dfc8

1230430152 has 64 divisors (see below), whose sum is σ = 3531386880. Its totient is φ = 349964352.

The previous prime is 1230430147. The next prime is 1230430163. The reversal of 1230430152 is 2510340321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21043 + ... + 53885.

It is an arithmetic number, because the mean of its divisors is an integer number (55177920).

Almost surely, 21230430152 is an apocalyptic number.

1230430152 is a gapful number since it is divisible by the number (12) 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 1230430152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765693440).

1230430152 is an abundant number, since it is smaller than the sum of its proper divisors (2300956728).

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

1230430152 is a wasteful number, since it uses less digits than its factorization.

1230430152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33082 (or 33078 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1230430152 is about 35077.4878233889. The cubic root of 1230430152 is about 1071.5661555686.

Adding to 1230430152 its reverse (2510340321), we get a palindrome (3740770473).

The spelling of 1230430152 in words is "one billion, two hundred thirty million, four hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2676 3122 4683 5352 6244 9366 12488 18732 32843 37464 65686 98529 131372 197058 229901 262744 394116 459802 689703 788232 919604 1379406 1839208 2758812 5517624 7323989 14647978 21971967 29295956 43943934 51267923 58591912 87887868 102535846 153803769 175775736 205071692 307607538 410143384 615215076 1230430152