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466037130 = 2351319109577
BaseRepresentation
bin11011110001110…
…010100110001010
31012110221010202110
4123301302212022
51423301142010
6114124443150
714356151556
oct3361624612
91173833673
10466037130
1121a07a659
121100a94b6
1375723420
1445c74866
152adaa120
hex1bc7298a

466037130 has 128 divisors (see below), whose sum is σ = 1281772800. Its totient is φ = 107495424.

The previous prime is 466037123. The next prime is 466037137. The reversal of 466037130 is 31730664.

It is an interprime number because it is at equal distance from previous prime (466037123) and next prime (466037137).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (466037137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807402 + ... + 807978.

It is an arithmetic number, because the mean of its divisors is an integer number (10013850).

Almost surely, 2466037130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466037130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640886400).

466037130 is an abundant number, since it is smaller than the sum of its proper divisors (815735670).

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

466037130 is a wasteful number, since it uses less digits than its factorization.

466037130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 466037130 is about 21587.8931348105. The cubic root of 466037130 is about 775.3066452159.

Adding to 466037130 its reverse (31730664), we get a palindrome (497767794).

The spelling of 466037130 in words is "four hundred sixty-six million, thirty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 109 114 130 190 195 218 247 285 327 390 494 545 570 577 654 741 1090 1154 1235 1417 1482 1635 1731 2071 2470 2834 2885 3270 3462 3705 4142 4251 5770 6213 7085 7410 7501 8502 8655 10355 10963 12426 14170 15002 17310 20710 21255 21926 22503 26923 31065 32889 37505 42510 45006 53846 54815 62130 62893 65778 75010 80769 109630 112515 125786 134615 142519 161538 164445 188679 225030 269230 285038 314465 328890 377358 403845 427557 628930 712595 807690 817609 855114 943395 1194967 1425190 1635218 1886790 2137785 2389934 2452827 3584901 4088045 4275570 4905654 5974835 7169802 8176090 11949670 12264135 15534571 17924505 24528270 31069142 35849010 46603713 77672855 93207426 155345710 233018565 466037130