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741072480 = 25352516151
BaseRepresentation
bin101100001010111…
…101111001100000
31220122110101022220
4230022331321200
53004203304410
6201311431040
724236004111
oct5412757140
91818411286
10741072480
113503527a5
12188225480
13ba6c0135
14705ca208
15450d7070
hex2c2bde60

741072480 has 96 divisors (see below), whose sum is σ = 2344059648. Its totient is φ = 196800000.

The previous prime is 741072413. The next prime is 741072487. The reversal of 741072480 is 84270147.

741072480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7410724802 = 1098376841226700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741072487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117405 + ... + 123555.

It is an arithmetic number, because the mean of its divisors is an integer number (24417288).

Almost surely, 2741072480 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 741072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172029824).

741072480 is an abundant number, since it is smaller than the sum of its proper divisors (1602987168).

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

741072480 is a wasteful number, since it uses less digits than its factorization.

741072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 741072480 is about 27222.6464547443. The cubic root of 741072480 is about 904.9409238729.

The spelling of 741072480 in words is "seven hundred forty-one million, seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 6151 7530 8032 10040 12048 12302 15060 18453 20080 24096 24604 30120 30755 36906 40160 49208 60240 61510 73812 92265 98416 120480 123020 147624 184530 196832 246040 295248 369060 492080 590496 738120 984160 1476240 1543901 2952480 3087802 4631703 6175604 7719505 9263406 12351208 15439010 18526812 23158515 24702416 30878020 37053624 46317030 49404832 61756040 74107248 92634060 123512080 148214496 185268120 247024160 370536240 741072480