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420322700 = 225272326107
BaseRepresentation
bin11001000011011…
…001110110001100
31002021220121100102
4121003121312030
51330100311300
6105412550232
713262453420
oct3103316614
91067817312
10420322700
111a6296736
12b8922378
1369108875
143db74b80
1526d7a0d5
hex190d9d8c

420322700 has 72 divisors (see below), whose sum is σ = 1087763712. Its totient is φ = 137839680.

The previous prime is 420322697. The next prime is 420322717. The reversal of 420322700 is 7223024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3047 + ... + 29153.

Almost surely, 2420322700 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 420322700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543881856).

420322700 is an abundant number, since it is smaller than the sum of its proper divisors (667441012).

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

420322700 is a wasteful number, since it uses less digits than its factorization.

420322700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26151 (or 26144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 420322700 is about 20501.7730940521. The cubic root of 420322700 is about 749.0789879639.

Adding to 420322700 its reverse (7223024), we get a palindrome (427545724).

The spelling of 420322700 in words is "four hundred twenty million, three hundred twenty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 26107 52214 104428 130535 182749 261070 365498 522140 600461 652675 730996 913745 1200922 1305350 1827490 2401844 2610700 3002305 3654980 4203227 4568725 6004610 8406454 9137450 12009220 15011525 16812908 18274900 21016135 30023050 42032270 60046100 84064540 105080675 210161350 420322700