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1230032052 = 223282141617
BaseRepresentation
bin100100101010000…
…1100110010110100
310011201112002202200
41021110030302310
510004342011202
6322015504500
742324046164
oct11124146264
93151462680
101230032052
11581359317
122a3b28130
13167aaac22
14b950a5a4
1572ebde1c
hex4950ccb4

1230032052 has 36 divisors (see below), whose sum is σ = 3113109636. Its totient is φ = 409501440.

The previous prime is 1230032009. The next prime is 1230032053. The reversal of 1230032052 is 2502300321.

It can be written as a sum of positive squares in 2 ways, for example, as 931226256 + 298805796 = 30516^2 + 17286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230032053) 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 11 ways as a sum of consecutive naturals, for example, 8748 + ... + 50364.

Almost surely, 21230032052 is an apocalyptic number.

1230032052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1230032052 is an abundant number, since it is smaller than the sum of its proper divisors (1883077584).

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

1230032052 is a wasteful number, since it uses less digits than its factorization.

1230032052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42448 (or 42443 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1230032052 is about 35071.8127846281. The cubic root of 1230032052 is about 1071.4505763404.

Adding to 1230032052 its reverse (2502300321), we get a palindrome (3732332373).

The spelling of 1230032052 in words is "one billion, two hundred thirty million, thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 821 1642 2463 3284 4926 7389 9852 14778 29556 41617 83234 124851 166468 249702 374553 499404 749106 1498212 34167557 68335114 102502671 136670228 205005342 307508013 410010684 615016026 1230032052