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2141659830 = 235176616353
BaseRepresentation
bin111111110100111…
…0010001010110110
312112020220120222110
41333221302022312
513341231103310
6552303111450
7104033544132
oct17751621266
95466816873
102141659830
119a9a02802
124b92a2586
1328191604b
141646123c2
15c8045d20
hex7fa722b6

2141659830 has 64 divisors (see below), whose sum is σ = 5451427008. Its totient is φ = 536616960.

The previous prime is 2141659787. The next prime is 2141659867. The reversal of 2141659830 is 389561412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333934 + ... + 340286.

It is an arithmetic number, because the mean of its divisors is an integer number (85178547).

Almost surely, 22141659830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141659830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725713504).

2141659830 is an abundant number, since it is smaller than the sum of its proper divisors (3309767178).

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

2141659830 is a wasteful number, since it uses less digits than its factorization.

2141659830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2141659830 is about 46278.0707246964. The cubic root of 2141659830 is about 1288.9918269148.

The spelling of 2141659830 in words is "two billion, one hundred forty-one million, six hundred fifty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 661 1322 1983 3305 3966 6353 6610 9915 11237 12706 19059 19830 22474 31765 33711 38118 56185 63530 67422 95295 108001 112370 168555 190590 216002 324003 337110 540005 648006 1080010 1620015 3240030 4199333 8398666 12597999 20996665 25195998 41993330 62989995 71388661 125979990 142777322 214165983 356943305 428331966 713886610 1070829915 2141659830