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1152454230 = 23651131399
BaseRepresentation
bin100010010110001…
…0000111001010110
32222022112202000000
41010230100321112
54330012013410
6310205032130
740362461604
oct10454207126
92868482000
101152454230
11541591a14
12281b55646
131549b81a5
14ad0b4874
156b297dc0
hex44b10e56

1152454230 has 112 divisors (see below), whose sum is σ = 3139970400. Its totient is φ = 304383744.

The previous prime is 1152454211. The next prime is 1152454231. The reversal of 1152454230 is 324542511.

1152454230 is a `hidden beast` number, since 115 + 2 + 4 + 542 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1152454194 and 1152454203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152454231) 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 55 ways as a sum of consecutive naturals, for example, 823071 + ... + 824469.

It is an arithmetic number, because the mean of its divisors is an integer number (28035450).

Almost surely, 21152454230 is an apocalyptic number.

1152454230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152454230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569985200).

1152454230 is an abundant number, since it is smaller than the sum of its proper divisors (1987516170).

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

1152454230 is a wasteful number, since it uses less digits than its factorization.

1152454230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1152454230 is about 33947.8162773395. The cubic root of 1152454230 is about 1048.4343195977.

Adding to 1152454230 its reverse (324542511), we get a palindrome (1476996741).

The spelling of 1152454230 in words is "one billion, one hundred fifty-two million, four hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 226 243 270 339 405 486 565 678 729 810 1017 1130 1215 1399 1458 1695 2034 2430 2798 3051 3390 3645 4197 5085 6102 6995 7290 8394 9153 10170 12591 13990 15255 18306 20985 25182 27459 30510 37773 41970 45765 54918 62955 75546 82377 91530 113319 125910 137295 158087 164754 188865 226638 274590 316174 339957 377730 411885 474261 566595 679914 790435 823770 948522 1019871 1133190 1422783 1580870 1699785 2039742 2371305 2845566 3399570 4268349 4742610 5099355 7113915 8536698 10198710 12805047 14227830 21341745 25610094 38415141 42683490 64025235 76830282 115245423 128050470 192075705 230490846 384151410 576227115 1152454230