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420194196 = 2233191931061
BaseRepresentation
bin11001000010111…
…010011110010100
31002021200002002000
4121002322132110
51330032203241
6105410115300
713261406652
oct3102723624
91067602060
10420194196
111a6209134
12b887bb30
1369092226
143db3ddd2
1526d51eb6
hex190ba794

420194196 has 96 divisors (see below), whose sum is σ = 1153756800. Its totient is φ = 131880960.

The previous prime is 420194183. The next prime is 420194213. The reversal of 420194196 is 691491024.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420194196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395506 + ... + 396566.

It is an arithmetic number, because the mean of its divisors is an integer number (12018300).

Almost surely, 2420194196 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 420194196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576878400).

420194196 is an abundant number, since it is smaller than the sum of its proper divisors (733562604).

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

420194196 is a wasteful number, since it uses less digits than its factorization.

420194196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 420194196 is about 20498.6388816428. The cubic root of 420194196 is about 749.0026422914.

The spelling of 420194196 in words is "four hundred twenty million, one hundred ninety-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 193 228 342 386 513 579 684 772 1026 1061 1158 1737 2052 2122 2316 3183 3474 3667 4244 5211 6366 6948 7334 9549 10422 11001 12732 14668 19098 20159 20844 22002 28647 33003 38196 40318 44004 57294 60477 66006 80636 99009 114588 120954 132012 181431 198018 204773 241908 362862 396036 409546 544293 614319 725724 819092 1088586 1228638 1842957 2177172 2457276 3685914 3890687 5528871 7371828 7781374 11057742 11672061 15562748 22115484 23344122 35016183 46688244 70032366 105048549 140064732 210097098 420194196