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423615420 = 223451092399
BaseRepresentation
bin11001001111111…
…101101110111100
31002112002220010000
4121033331232330
51331421143140
6110011314300
713332446244
oct3117755674
91075086100
10423615420
111a8135598
12b9a4b990
13699bc517
1440390b24
15272caa30
hex193fdbbc

423615420 has 120 divisors (see below), whose sum is σ = 1341648000. Its totient is φ = 111881088.

The previous prime is 423615397. The next prime is 423615433. The reversal of 423615420 is 24516324.

423615420 is a `hidden beast` number, since 4 + 2 + 3 + 615 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175381 + ... + 177779.

It is an arithmetic number, because the mean of its divisors is an integer number (11180400).

Almost surely, 2423615420 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 423615420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670824000).

423615420 is an abundant number, since it is smaller than the sum of its proper divisors (918032580).

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

423615420 is a wasteful number, since it uses less digits than its factorization.

423615420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 423615420 is about 20581.9197355349. The cubic root of 423615420 is about 751.0299449704.

The spelling of 423615420 in words is "four hundred twenty-three million, six hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 270 324 327 405 436 540 545 654 810 981 1090 1308 1620 1635 1962 2180 2399 2943 3270 3924 4798 4905 5886 6540 7197 8829 9596 9810 11772 11995 14394 14715 17658 19620 21591 23990 28788 29430 35316 35985 43182 44145 47980 58860 64773 71970 86364 88290 107955 129546 143940 176580 194319 215910 259092 261491 323865 388638 431820 522982 647730 777276 784473 971595 1045964 1295460 1307455 1568946 1943190 2353419 2614910 3137892 3886380 3922365 4706838 5229820 7060257 7844730 9413676 11767095 14120514 15689460 21180771 23534190 28241028 35301285 42361542 47068380 70602570 84723084 105903855 141205140 211807710 423615420