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46130560 = 275721471
BaseRepresentation
bin1010111111111…
…0010110000000
310012210200020021
42233332112000
543302134220
64324423224
71100050300
oct257762600
9105720207
1046130560
1124048633
1213547b14
1397320b8
1461ab600
1540b34aa
hex2bfe580

46130560 has 96 divisors (see below), whose sum is σ = 128373120. Its totient is φ = 15805440.

The previous prime is 46130551. The next prime is 46130563. The reversal of 46130560 is 6503164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46130563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30625 + ... + 32095.

It is an arithmetic number, because the mean of its divisors is an integer number (1337220).

Almost surely, 246130560 is an apocalyptic number.

46130560 is a gapful number since it is divisible by the number (40) 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 46130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64186560).

46130560 is an abundant number, since it is smaller than the sum of its proper divisors (82242560).

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

46130560 is a wasteful number, since it uses less digits than its factorization.

46130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 46130560 is about 6791.9481741250. The cubic root of 46130560 is about 358.6434543802.

The spelling of 46130560 in words is "forty-six million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1471 1568 1960 2240 2942 3136 3920 4480 5884 6272 7355 7840 10297 11768 14710 15680 20594 23536 29420 31360 41188 47072 51485 58840 72079 82376 94144 102970 117680 144158 164752 188288 205940 235360 288316 329504 360395 411880 470720 576632 659008 720790 823760 941440 1153264 1318016 1441580 1647520 2306528 2883160 3295040 4613056 5766320 6590080 9226112 11532640 23065280 46130560