Search a number
-
+
740976640 = 21152692
BaseRepresentation
bin101100001010100…
…110100000000000
31220122021111212021
4230022212200000
53004142223030
6201305411224
724235124515
oct5412464000
91818244767
10740976640
11350297798
12188199b14
13ba688621
14705a330c
15450b897a
hex2c2a6800

740976640 has 72 divisors (see below), whose sum is σ = 1784543670. Its totient is φ = 295288832.

The previous prime is 740976589. The next prime is 740976653. The reversal of 740976640 is 46679047.

It can be written as a sum of positive squares in 3 ways, for example, as 223323136 + 517653504 = 14944^2 + 22752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2754426 + ... + 2754694.

Almost surely, 2740976640 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 740976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892271835).

740976640 is an abundant number, since it is smaller than the sum of its proper divisors (1043567030).

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

740976640 is an frugal number, since it uses more digits than its factorization.

740976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 740976640 is about 27220.8860987294. The cubic root of 740976640 is about 904.9019113698.

The spelling of 740976640 in words is "seven hundred forty million, nine hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 320 512 538 640 1024 1076 1280 1345 2048 2152 2560 2690 4304 5120 5380 8608 10240 10760 17216 21520 34432 43040 68864 72361 86080 137728 144722 172160 275456 289444 344320 361805 550912 578888 688640 723610 1157776 1377280 1447220 2315552 2754560 2894440 4631104 5788880 9262208 11577760 18524416 23155520 37048832 46311040 74097664 92622080 148195328 185244160 370488320 740976640