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742095360 = 29325311039
BaseRepresentation
bin101100001110110…
…111101000000000
31220201101100110100
4230032313220000
53004434022420
6201345402400
724250464216
oct5416675000
91821340410
10742095360
11350991256
12188639400
13ba98a8a6
14707b4cb6
154523a190
hex2c3b7a00

742095360 has 240 divisors, whose sum is σ = 2655544320. Its totient is φ = 191324160.

The previous prime is 742095359. The next prime is 742095377. The reversal of 742095360 is 63590247.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 713721 + ... + 714759.

It is an arithmetic number, because the mean of its divisors is an integer number (11064768).

Almost surely, 2742095360 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 742095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327772160).

742095360 is an abundant number, since it is smaller than the sum of its proper divisors (1913448960).

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

742095360 is a wasteful number, since it uses less digits than its factorization.

742095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 742095360 is about 27241.4272753834. The cubic root of 742095360 is about 905.3570866833.

The spelling of 742095360 in words is "seven hundred forty-two million, ninety-five thousand, three hundred sixty".