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4132122260 = 225737898963
BaseRepresentation
bin1111011001001011…
…0010111010010100
3101122222022120010012
43312102302322110
531430310403020
61522005415352
7204253313450
oct36622627224
911588276105
104132122260
111830525682
12973a0a558
1350b101176
142b2b07660
15192b727c5
hexf64b2e94

4132122260 has 96 divisors (see below), whose sum is σ = 10300711680. Its totient is φ = 1362797568.

The previous prime is 4132122257. The next prime is 4132122283. The reversal of 4132122260 is 622212314.

It is a happy number.

It is a congruent number.

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, 456539 + ... + 465501.

It is an arithmetic number, because the mean of its divisors is an integer number (107299080).

Almost surely, 24132122260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132122260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150355840).

4132122260 is an abundant number, since it is smaller than the sum of its proper divisors (6168589420).

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

4132122260 is a wasteful number, since it uses less digits than its factorization.

4132122260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4132122260 is about 64281.5856991720. The cubic root of 4132122260 is about 1604.6896602703.

Adding to 4132122260 its reverse (622212314), we get a palindrome (4754334574).

The spelling of 4132122260 in words is "four billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 89 140 148 178 185 259 356 370 445 518 623 740 890 1036 1246 1295 1780 2492 2590 3115 3293 5180 6230 6586 8963 12460 13172 16465 17926 23051 32930 35852 44815 46102 62741 65860 89630 92204 115255 125482 179260 230510 250964 313705 331631 461020 627410 663262 797707 1254820 1326524 1595414 1658155 2321417 3190828 3316310 3988535 4642834 5583949 6632620 7977070 9285668 11167898 11607085 15954140 22335796 23214170 27919745 29515159 46428340 55839490 59030318 111678980 118060636 147575795 206606113 295151590 413212226 590303180 826424452 1033030565 2066061130 4132122260