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45134460 = 223257113317
BaseRepresentation
bin1010110000101…
…1001001111100
310010221001211200
42230023021330
543023300320
64251215500
71055431230
oct254131174
9103831750
1045134460
1123528208
1213147590
1394738a7
145dcc5c0
153e68290
hex2b0b27c

45134460 has 144 divisors (see below), whose sum is σ = 158348736. Its totient is φ = 10192896.

The previous prime is 45134447. The next prime is 45134461. The reversal of 45134460 is 6443154.

45134460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45134461) 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 47 ways as a sum of consecutive naturals, for example, 142222 + ... + 142538.

It is an arithmetic number, because the mean of its divisors is an integer number (1099644).

Almost surely, 245134460 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 45134460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79174368).

45134460 is an abundant number, since it is smaller than the sum of its proper divisors (113214276).

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

45134460 is a wasteful number, since it uses less digits than its factorization.

45134460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45134460 is about 6718.2185138621. The cubic root of 45134460 is about 356.0432447572.

The spelling of 45134460 in words is "forty-five million, one hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 180 210 226 252 315 317 339 420 452 565 630 634 678 791 951 1017 1130 1260 1268 1356 1582 1585 1695 1902 2034 2219 2260 2373 2853 3164 3170 3390 3804 3955 4068 4438 4746 4755 5085 5706 6340 6657 6780 7119 7910 8876 9492 9510 10170 11095 11412 11865 13314 14238 14265 15820 19020 19971 20340 22190 23730 26628 28476 28530 33285 35595 35821 39942 44380 47460 57060 66570 71190 71642 79884 99855 107463 133140 142380 143284 179105 199710 214926 250747 322389 358210 399420 429852 501494 537315 644778 716420 752241 1002988 1074630 1253735 1289556 1504482 1611945 2149260 2256723 2507470 3008964 3223890 3761205 4513446 5014940 6447780 7522410 9026892 11283615 15044820 22567230 45134460