Search a number
-
+
1041545304 = 233441197199
BaseRepresentation
bin111110000101001…
…011100001011000
32200120211222120000
4332011023201120
54113113422204
6251203533000
734544663142
oct7605134130
92616758500
101041545304
11494a1a448
1225098a160
13137a251c7
149c483c92
156168b039
hex3e14b858

1041545304 has 160 divisors (see below), whose sum is σ = 3018708000. Its totient is φ = 335301120.

The previous prime is 1041545303. The next prime is 1041545321. The reversal of 1041545304 is 4035451401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041545303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5233797 + ... + 5233995.

It is an arithmetic number, because the mean of its divisors is an integer number (18866925).

Almost surely, 21041545304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041545304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509354000).

1041545304 is an abundant number, since it is smaller than the sum of its proper divisors (1977162696).

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

1041545304 is a wasteful number, since it uses less digits than its factorization.

1041545304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

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

The square root of 1041545304 is about 32272.9810212816. The cubic root of 1041545304 is about 1013.6609629464.

Adding to 1041545304 its reverse (4035451401), we get a palindrome (5076996705).

The spelling of 1041545304 in words is "one billion, forty-one million, five hundred forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 197 199 216 246 324 328 369 394 398 492 591 597 648 738 788 796 984 1107 1182 1194 1476 1576 1592 1773 1791 2214 2364 2388 2952 3321 3546 3582 4428 4728 4776 5319 5373 6642 7092 7164 8077 8159 8856 10638 10746 13284 14184 14328 15957 16119 16154 16318 21276 21492 24231 24477 26568 31914 32238 32308 32636 39203 42552 42984 48462 48954 63828 64476 64616 65272 72693 73431 78406 96924 97908 117609 127656 128952 145386 146862 156812 193848 195816 218079 220293 235218 290772 293724 313624 352827 436158 440586 470436 581544 587448 654237 660879 705654 872316 881172 940872 1058481 1308474 1321758 1411308 1607323 1744632 1762344 2116962 2616948 2643516 2822616 3175443 3214646 4233924 4821969 5233896 5287032 6350886 6429292 8467848 9643938 12701772 12858584 14465907 19287876 25403544 28931814 38575752 43397721 57863628 86795442 115727256 130193163 173590884 260386326 347181768 520772652 1041545304