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742084420 = 2257211234173
BaseRepresentation
bin101100001110110…
…100111101000100
31220201100210110011
4230032310331010
53004433200140
6201345240004
724250420300
oct5416647504
91821323404
10742084420
11350984010
12188633004
13ba98590c
14707b0d00
1545236cea
hex2c3b4f44

742084420 has 288 divisors, whose sum is σ = 2142878976. Its totient is φ = 212889600.

The previous prime is 742084381. The next prime is 742084433. The reversal of 742084420 is 24480247.

742084420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10165504 + ... + 10165576.

It is an arithmetic number, because the mean of its divisors is an integer number (7440552).

Almost surely, 2742084420 is an apocalyptic number.

742084420 is a gapful number since it is divisible by the number (70) 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 742084420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071439488).

742084420 is an abundant number, since it is smaller than the sum of its proper divisors (1400794556).

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

742084420 is a wasteful number, since it uses less digits than its factorization.

742084420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 742084420 is about 27241.2264775285. The cubic root of 742084420 is about 905.3526377244.

The spelling of 742084420 in words is "seven hundred forty-two million, eighty-four thousand, four hundred twenty".