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420600481380 = 223255861398681
BaseRepresentation
bin1100001111011011011…
…11100000011001100100
31111012122101000020211200
412013231233200121210
523342342210401010
6521115440002500
742246605050332
oct6075557403144
91435571006750
10420600481380
11152415008a22
1269622300430
133087c54c9b1
1416500118b52
15ae1a229cc0
hex61edbe0664

420600481380 has 72 divisors (see below), whose sum is σ = 1276042340664. Its totient is φ = 112140710400.

The previous prime is 420600481331. The next prime is 420600481381. The reversal of 420600481380 is 83184006024.

420600481380 is a `hidden beast` number, since 4 + 2 + 0 + 600 + 48 + 1 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 354267684 + 420246213696 = 18822^2 + 648264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420600481381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855640 + ... + 1254320.

It is an arithmetic number, because the mean of its divisors is an integer number (17722810287).

Almost surely, 2420600481380 is an apocalyptic number.

It is an amenable number.

420600481380 is an abundant number, since it is smaller than the sum of its proper divisors (855441859284).

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

420600481380 is a wasteful number, since it uses less digits than its factorization.

420600481380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404557 (or 404552 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 420600481380 in words is "four hundred twenty billion, six hundred million, four hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5861 11722 17583 23444 29305 35166 52749 58610 70332 87915 105498 117220 175830 210996 263745 351660 398681 527490 797362 1054980 1196043 1594724 1993405 2392086 3588129 3986810 4784172 5980215 7176258 7973620 11960430 14352516 17940645 23920860 35881290 71762580 2336669341 4673338682 7010008023 9346677364 11683346705 14020016046 21030024069 23366693410 28040032092 35050040115 42060048138 46733386820 70100080230 84120096276 105150120345 140200160460 210300240690 420600481380