Search a number
-
+
2939742102 = 2311172236701
BaseRepresentation
bin1010111100111000…
…1110011110010110
321120212122101001010
42233032032132112
522010033221402
61203412513050
7132564252453
oct25716163626
97525571033
102939742102
111279453830
126a061b786
1337b07708b
141dc5dc82a
1512313ea6c
hexaf38e796

2939742102 has 96 divisors (see below), whose sum is σ = 7110768384. Its totient is φ = 801856000.

The previous prime is 2939742077. The next prime is 2939742103. The reversal of 2939742102 is 2012479392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939742103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 435352 + ... + 442052.

It is an arithmetic number, because the mean of its divisors is an integer number (74070504).

Almost surely, 22939742102 is an apocalyptic number.

2939742102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939742102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555384192).

2939742102 is an abundant number, since it is smaller than the sum of its proper divisors (4171026282).

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

2939742102 is a wasteful number, since it uses less digits than its factorization.

2939742102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2939742102 is about 54219.3886169883. The cubic root of 2939742102 is about 1432.5278615720.

The spelling of 2939742102 in words is "two billion, nine hundred thirty-nine million, seven hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 289 374 391 506 561 578 759 782 867 1122 1173 1518 1734 2346 3179 4301 6358 6647 6701 8602 9537 12903 13294 13402 19074 19941 20103 25806 39882 40206 73117 73711 113917 146234 147422 154123 219351 221133 227834 308246 341751 438702 442266 462369 683502 924738 1253087 1695353 1936589 2506174 2620091 3390706 3759261 3873178 5086059 5240182 5809767 7518522 7860273 10172118 11619534 15720546 21302479 28821001 42604958 44541547 57642002 63907437 86463003 89083094 127814874 133624641 172926006 267249282 489957017 979914034 1469871051 2939742102