Search a number
-
+
740940480 = 26335712251
BaseRepresentation
bin101100001010011…
…101101011000000
31220122012200021000
4230022131223000
53004140043410
6201304532000
724234614220
oct5412355300
91818180230
10740940480
11350272605
12188181000
13ba675027
1470594080
15450acdc0
hex2c29dac0

740940480 has 224 divisors, whose sum is σ = 2987527680. Its totient is φ = 169344000.

The previous prime is 740940457. The next prime is 740940533. The reversal of 740940480 is 84049047.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 54355 + ... + 66605.

Almost surely, 2740940480 is an apocalyptic number.

740940480 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 740940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493763840).

740940480 is an abundant number, since it is smaller than the sum of its proper divisors (2246587200).

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

740940480 is a wasteful number, since it uses less digits than its factorization.

740940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 740940480 is about 27220.2218947605. The cubic root of 740940480 is about 904.8871912542.

The spelling of 740940480 in words is "seven hundred forty million, nine hundred forty thousand, four hundred eighty".