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642270420 = 2232511237797
BaseRepresentation
bin100110010010000…
…100010011010100
31122202112201101100
4212102010103110
52303410123140
6143422030100
721626131341
oct4622042324
91582481340
10642270420
112aa5aa300
1215b118330
13a30a898c
146142b7c8
153b5bc530
hex264844d4

642270420 has 216 divisors, whose sum is σ = 2202068232. Its totient is φ = 151303680.

The previous prime is 642270407. The next prime is 642270427. The reversal of 642270420 is 24072246.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 170772624 + 471497796 = 13068^2 + 21714^2 .

It is a super-2 number, since 2×6422704202 = 825022584813952800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642270427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805462 + ... + 806258.

Almost surely, 2642270420 is an apocalyptic number.

642270420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642270420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101034116).

642270420 is an abundant number, since it is smaller than the sum of its proper divisors (1559797812).

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

642270420 is a wasteful number, since it uses less digits than its factorization.

642270420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 642270420 is about 25343.0546698696. The cubic root of 642270420 is about 862.7917299223.

The spelling of 642270420 in words is "six hundred forty-two million, two hundred seventy thousand, four hundred twenty".