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2117133240 = 233517998563
BaseRepresentation
bin111111000110000…
…1110001110111000
312110112202111211020
41332030032032320
513313441230430
6550025302440
7103315223055
oct17614161670
95415674736
102117133240
119970805a2
124b1034a20
13279809481
1416126a02c
15c5cedb10
hex7e30e3b8

2117133240 has 64 divisors (see below), whose sum is σ = 6386947200. Its totient is φ = 561409152.

The previous prime is 2117133211. The next prime is 2117133247. The reversal of 2117133240 is 423317112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2117133240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117133247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27802 + ... + 70761.

It is an arithmetic number, because the mean of its divisors is an integer number (99796050).

Almost surely, 22117133240 is an apocalyptic number.

2117133240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117133240 is an abundant number, since it is smaller than the sum of its proper divisors (4269813960).

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

2117133240 is a wasteful number, since it uses less digits than its factorization.

2117133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98756 (or 98752 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2117133240 is about 46012.3161773019. The cubic root of 2117133240 is about 1284.0523508124.

The spelling of 2117133240 in words is "two billion, one hundred seventeen million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 98563 197126 295689 394252 492815 591378 788504 985630 1182756 1478445 1971260 2365512 2956890 3942520 5913780 11827560 17642777 35285554 52928331 70571108 88213885 105856662 141142216 176427770 211713324 264641655 352855540 423426648 529283310 705711080 1058566620 2117133240