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2672940102 = 2372194710181
BaseRepresentation
bin1001111101010001…
…1101010001000110
320220021121102111120
42133110131101012
520433233040402
61121122214410
7123144421200
oct23724352106
96807542446
102672940102
111151894508
126271b4406
13337a00a81
141b4dcb770
151099dc3bc
hex9f51d446

2672940102 has 96 divisors (see below), whose sum is σ = 6685908480. Its totient is φ = 708039360.

The previous prime is 2672940097. The next prime is 2672940119. The reversal of 2672940102 is 2010492762.

2672940102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257452 + ... + 267632.

It is an arithmetic number, because the mean of its divisors is an integer number (69644880).

Almost surely, 22672940102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672940102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342954240).

2672940102 is an abundant number, since it is smaller than the sum of its proper divisors (4012968378).

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

2672940102 is a wasteful number, since it uses less digits than its factorization.

2672940102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2672940102 is about 51700.4845431839. The cubic root of 2672940102 is about 1387.8091363459.

The spelling of 2672940102 in words is "two billion, six hundred seventy-two million, nine hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 49 57 94 98 114 133 141 147 266 282 294 329 399 658 798 893 931 987 1786 1862 1974 2303 2679 2793 4606 5358 5586 6251 6909 10181 12502 13818 18753 20362 30543 37506 43757 61086 71267 87514 131271 142534 193439 213801 262542 386878 427602 478507 498869 580317 957014 997738 1160634 1354073 1435521 1496607 2708146 2871042 2993214 3349549 4062219 6699098 8124438 9091633 9478511 10048647 18183266 18957022 20097294 23446843 27274899 28435533 46893686 54549798 56871066 63641431 70340529 127282862 140681058 190924293 381848586 445490017 890980034 1336470051 2672940102