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420634140 = 22357010569
BaseRepresentation
bin11001000100100…
…101111000011100
31002022111102120020
4121010211320130
51330140243030
6105423352140
713265221413
oct3104457034
91068442506
10420634140
111a6489723
12b8a52650
13691b7554
143dc1647a
1526ddc510
hex19125e1c

420634140 has 24 divisors (see below), whose sum is σ = 1177775760. Its totient is φ = 112169088.

The previous prime is 420634139. The next prime is 420634147. The reversal of 420634140 is 41436024.

420634140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 420634140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420634147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3505225 + ... + 3505344.

It is an arithmetic number, because the mean of its divisors is an integer number (49073990).

Almost surely, 2420634140 is an apocalyptic number.

It is an amenable number.

420634140 is an abundant number, since it is smaller than the sum of its proper divisors (757141620).

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

420634140 is a wasteful number, since it uses less digits than its factorization.

420634140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010581 (or 7010579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420634140 is about 20509.3671282173. The cubic root of 420634140 is about 749.2639534391.

The spelling of 420634140 in words is "four hundred twenty million, six hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7010569 14021138 21031707 28042276 35052845 42063414 70105690 84126828 105158535 140211380 210317070 420634140