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420445184 = 2105361127
BaseRepresentation
bin11001000011110…
…111110000000000
31002022010211100212
4121003313300000
51330113221214
6105415333252
713263503465
oct3103676000
91068124325
10420445184
111a636a765
12b8981228
136914c543
143dba766c
1526da153e
hex190f7c00

420445184 has 88 divisors (see below), whose sum is σ = 877229568. Its totient is φ = 201277440.

The previous prime is 420445153. The next prime is 420445199. The reversal of 420445184 is 481544024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 420445184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3310529 + ... + 3310655.

Almost surely, 2420445184 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 420445184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438614784).

420445184 is an abundant number, since it is smaller than the sum of its proper divisors (456784384).

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

420445184 is a wasteful number, since it uses less digits than its factorization.

420445184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 420445184 is about 20504.7600327339. The cubic root of 420445184 is about 749.1517426038.

The spelling of 420445184 in words is "four hundred twenty million, four hundred forty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 127 128 212 244 254 256 424 488 508 512 848 976 1016 1024 1696 1952 2032 3233 3392 3904 4064 6466 6731 6784 7747 7808 8128 12932 13462 13568 15494 15616 16256 25864 26924 27136 30988 31232 32512 51728 53848 54272 61976 62464 65024 103456 107696 123952 130048 206912 215392 247904 410591 413824 430784 495808 821182 827648 861568 991616 1642364 1655296 1723136 1983232 3284728 3310592 3446272 3966464 6569456 6892544 7932928 13138912 26277824 52555648 105111296 210222592 420445184