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1230255432 = 233372932777
BaseRepresentation
bin100100101010100…
…0011010101001000
310011201221110012000
41021111003111020
510004421133212
6322024351000
742325666350
oct11125032510
93151843160
101230255432
115814a112a
122a4015460
13167b587c3
14b9567b60
15730151dc
hex49543548

1230255432 has 128 divisors (see below), whose sum is σ = 3920313600. Its totient is φ = 350175744.

The previous prime is 1230255431. The next prime is 1230255449. The reversal of 1230255432 is 2345520321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1230255396 and 1230255405.

It is not an unprimeable number, because it can be changed into a prime (1230255431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441628 + ... + 444404.

It is an arithmetic number, because the mean of its divisors is an integer number (30627450).

Almost surely, 21230255432 is an apocalyptic number.

1230255432 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 1230255432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960156800).

1230255432 is an abundant number, since it is smaller than the sum of its proper divisors (2690058168).

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

1230255432 is a wasteful number, since it uses less digits than its factorization.

1230255432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1230255432 is about 35074.9972487526. The cubic root of 1230255432 is about 1071.5154326836.

Adding to 1230255432 its reverse (2345520321), we get a palindrome (3575775753).

The spelling of 1230255432 in words is "one billion, two hundred thirty million, two hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 293 378 504 586 756 879 1172 1512 1758 2051 2344 2637 2777 3516 4102 5274 5554 6153 7032 7911 8204 8331 10548 11108 12306 15822 16408 16662 18459 19439 21096 22216 24612 24993 31644 33324 36918 38878 49224 49986 55377 58317 63288 66648 73836 74979 77756 99972 110754 116634 147672 149958 155512 174951 199944 221508 233268 299916 349902 443016 466536 524853 599832 699804 813661 1049706 1399608 1627322 2099412 2440983 3254644 4198824 4881966 5695627 6509288 7322949 9763932 11391254 14645898 17086881 19527864 21968847 22782508 29291796 34173762 43937694 45565016 51260643 58583592 68347524 87875388 102521286 136695048 153781929 175750776 205042572 307563858 410085144 615127716 1230255432