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1230525072 = 243273793221
BaseRepresentation
bin100100101011000…
…0101001010010000
310011202110011001200
41021112011022100
510010003300242
6322034231200
742331201440
oct11126051220
93152404050
101230525072
11581665777
122a4125500
13167c2145a
14b95d8120
157306a04c
hex49585290

1230525072 has 120 divisors (see below), whose sum is σ = 3947336640. Its totient is φ = 350542080.

The previous prime is 1230525031. The next prime is 1230525073. The reversal of 1230525072 is 2705250321.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1230525073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380422 + ... + 383642.

It is an arithmetic number, because the mean of its divisors is an integer number (32894472).

Almost surely, 21230525072 is an apocalyptic number.

1230525072 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 1230525072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973668320).

1230525072 is an abundant number, since it is smaller than the sum of its proper divisors (2716811568).

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

1230525072 is a wasteful number, since it uses less digits than its factorization.

1230525072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1230525072 is about 35078.8408018281. The cubic root of 1230525072 is about 1071.5937097385.

Adding to 1230525072 its reverse (2705250321), we get a palindrome (3935775393).

The spelling of 1230525072 in words is "one billion, two hundred thirty million, five hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 379 504 758 1008 1137 1516 2274 2653 3032 3221 3411 4548 5306 6064 6442 6822 7959 9096 9663 10612 12884 13644 15918 18192 19326 21224 22547 23877 25768 27288 28989 31836 38652 42448 45094 47754 51536 54576 57978 63672 67641 77304 90188 95508 115956 127344 135282 154608 180376 191016 202923 231912 270564 360752 382032 405846 463824 541128 811692 1082256 1220759 1623384 2441518 3246768 3662277 4883036 7324554 8545313 9766072 10986831 14649108 17090626 19532144 21973662 25635939 29298216 34181252 43947324 51271878 58596432 68362504 76907817 87894648 102543756 136725008 153815634 175789296 205087512 307631268 410175024 615262536 1230525072