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420630413620 = 225313794573917
BaseRepresentation
bin1100001111011111000…
…01101100000100110100
31111012201110022222011011
412013233201230010310
523342422341213440
6521122425322004
742250420344334
oct6075741540464
91435643288134
10420630413620
1115242a9a250a
1269630336304
13308857ccb91
14165040ab0c4
15ae1cb8d9ea
hex61ef86c134

420630413620 has 96 divisors (see below), whose sum is σ = 916458439680. Its totient is φ = 161998341120.

The previous prime is 420630413591. The next prime is 420630413629. The reversal of 420630413620 is 26314036024.

It is a super-3 number, since 3×4206304136203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420630413629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107383902 + ... + 107387818.

It is an arithmetic number, because the mean of its divisors is an integer number (9546442080).

Almost surely, 2420630413620 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 420630413620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458229219840).

420630413620 is an abundant number, since it is smaller than the sum of its proper divisors (495828026060).

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

420630413620 is a wasteful number, since it uses less digits than its factorization.

420630413620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 420630413620 its reverse (26314036024), we get a palindrome (446944449644).

The spelling of 420630413620 in words is "four hundred twenty billion, six hundred thirty million, four hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 379 457 620 758 914 1516 1828 1895 2285 3790 3917 4570 7580 7834 9140 11749 14167 15668 19585 23498 28334 39170 46996 56668 58745 70835 78340 117490 121427 141670 173203 234980 242854 283340 346406 485708 607135 692812 866015 1214270 1484543 1732030 1790069 2428540 2969086 3464060 3580138 5369293 5938172 7160276 7422715 8950345 10738586 14845430 17900690 21477172 26846465 29690860 35801380 46020833 53692930 55492139 92041666 107385860 110984278 184083332 221968556 230104165 277460695 460208330 554921390 678436151 920416660 1109842780 1356872302 2713744604 3392180755 6784361510 13568723020 21031520681 42063041362 84126082724 105157603405 210315206810 420630413620