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2629087140 = 2235197347641
BaseRepresentation
bin1001110010110100…
…1010111110100100
320210020002110112210
42130231022332210
520341021242030
61112514243420
7122102605041
oct23455127644
96706073483
102629087140
11112a062099
12614586570
1332b8b8584
141ad2541c8
15105c28bb0
hex9cb4afa4

2629087140 has 96 divisors (see below), whose sum is σ = 7431709824. Its totient is φ = 694435840.

The previous prime is 2629087117. The next prime is 2629087159. The reversal of 2629087140 is 417809262.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4101220 + ... + 4101860.

It is an arithmetic number, because the mean of its divisors is an integer number (77413644).

Almost surely, 22629087140 is an apocalyptic number.

2629087140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2629087140 is an abundant number, since it is smaller than the sum of its proper divisors (4802622684).

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

2629087140 is a wasteful number, since it uses less digits than its factorization.

2629087140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2629087140 is about 51274.6247182756. The cubic root of 2629087140 is about 1380.1776603869.

The spelling of 2629087140 in words is "two billion, six hundred twenty-nine million, eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 347 394 591 641 694 788 985 1041 1182 1282 1388 1735 1923 1970 2082 2364 2564 2955 3205 3470 3846 3940 4164 5205 5910 6410 6940 7692 9615 10410 11820 12820 19230 20820 38460 68359 126277 136718 205077 222427 252554 273436 341795 378831 410154 444854 505108 631385 667281 683590 757662 820308 889708 1025385 1112135 1262770 1334562 1367180 1515324 1894155 2050770 2224270 2525540 2669124 3336405 3788310 4101540 4448540 6672810 7576620 13345620 43818119 87636238 131454357 175272476 219090595 262908714 438181190 525817428 657271785 876362380 1314543570 2629087140