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991272240 = 243257196681
BaseRepresentation
bin111011000101011…
…001110100110000
32120002020211212200
4323011121310300
54012231202430
6242210223200
733364450350
oct7305316460
92502224780
10991272240
11469602562
12237b84b00
1312a4a272a
1495918b60
155c05a460
hex3b159d30

991272240 has 120 divisors (see below), whose sum is σ = 3804616608. Its totient is φ = 226575360.

The previous prime is 991272221. The next prime is 991272257. The reversal of 991272240 is 42272199.

991272240 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 (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 991272195 and 991272204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93301 + ... + 103380.

Almost surely, 2991272240 is an apocalyptic number.

991272240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

991272240 is an abundant number, since it is smaller than the sum of its proper divisors (2813344368).

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

991272240 is a wasteful number, since it uses less digits than its factorization.

991272240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196707 (or 196698 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 991272240 is about 31484.4761747754. The cubic root of 991272240 is about 997.0822416327.

The spelling of 991272240 in words is "nine hundred ninety-one million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 196681 393362 590043 786724 983405 1180086 1376767 1573448 1770129 1966810 2360172 2753534 2950215 3146896 3540258 3933620 4130301 4720344 5507068 5900430 6883835 7080516 7867240 8260602 8850645 9440688 11014136 11800860 12390903 13767670 14161032 15734480 16521204 17701290 20651505 22028272 23601720 24781806 27535340 28322064 33042408 35402580 41303010 47203440 49563612 55070680 61954515 66084816 70805160 82606020 99127224 110141360 123909030 141610320 165212040 198254448 247818060 330424080 495636120 991272240