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993930240 = 2103564709
BaseRepresentation
bin111011001111100…
…010110000000000
32120021020212222010
4323033202300000
54013421231430
6242343212520
733426160542
oct7317426000
92507225863
10993930240
11470058556
12238a47140
1312abc3504
149600b692
155c3d2cb0
hex3b3e2c00

993930240 has 88 divisors (see below), whose sum is σ = 3179072880. Its totient is φ = 265043968.

The previous prime is 993930221. The next prime is 993930247. The reversal of 993930240 is 42039399.

It is not an unprimeable number, because it can be changed into a prime (993930247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16995 + ... + 47714.

Almost surely, 2993930240 is an apocalyptic number.

It is an amenable number.

993930240 is an abundant number, since it is smaller than the sum of its proper divisors (2185142640).

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

993930240 is a wasteful number, since it uses less digits than its factorization.

993930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64737 (or 64719 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 993930240 is about 31526.6591950368. The cubic root of 993930240 is about 997.9726392527.

The spelling of 993930240 in words is "nine hundred ninety-three million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 64709 129418 194127 258836 323545 388254 517672 647090 776508 970635 1035344 1294180 1553016 1941270 2070688 2588360 3106032 3882540 4141376 5176720 6212064 7765080 8282752 10353440 12424128 15530160 16565504 20706880 24848256 31060320 33131008 41413760 49696512 62120640 66262016 82827520 99393024 124241280 165655040 198786048 248482560 331310080 496965120 993930240