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466620630 = 23573137331
BaseRepresentation
bin11011110100000…
…001000011010110
31012112000210011120
4123310001003112
51423423330010
6114145144410
714364132000
oct3364010326
91175023146
10466620630
1121a438a93
1211032b106
1375898ba8
1445d87370
152ae72e70
hex1bd010d6

466620630 has 128 divisors (see below), whose sum is σ = 1319500800. Its totient is φ = 105557760.

The previous prime is 466620569. The next prime is 466620667. The reversal of 466620630 is 36026664.

It is a junction number, because it is equal to n+sod(n) for n = 466620591 and 466620600.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1409565 + ... + 1409895.

It is an arithmetic number, because the mean of its divisors is an integer number (10308600).

Almost surely, 2466620630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466620630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659750400).

466620630 is an abundant number, since it is smaller than the sum of its proper divisors (852880170).

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

466620630 is a wasteful number, since it uses less digits than its factorization.

466620630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 466620630 is about 21601.4034266295. The cubic root of 466620630 is about 775.6300835034.

The spelling of 466620630 in words is "four hundred sixty-six million, six hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 137 147 210 245 274 294 331 343 411 490 662 685 686 735 822 959 993 1029 1370 1470 1655 1715 1918 1986 2055 2058 2317 2877 3310 3430 4110 4634 4795 4965 5145 5754 6713 6951 9590 9930 10290 11585 13426 13902 14385 16219 20139 23170 28770 32438 33565 34755 40278 45347 46991 48657 67130 69510 81095 90694 93982 97314 100695 113533 136041 140973 162190 201390 226735 227066 234955 243285 272082 281946 317429 340599 453470 469910 486570 567665 634858 680205 681198 704865 952287 1135330 1360410 1409730 1587145 1702995 1904574 2222003 3174290 3405990 4444006 4761435 6666009 9522870 11110015 13332018 15554021 22220030 31108042 33330045 46662063 66660090 77770105 93324126 155540210 233310315 466620630