Search a number
-
+
2676197120 = 28517196473
BaseRepresentation
bin1001111110000011…
…1000011100000000
320220111201220021212
42133200320130000
520440101301440
61121320105252
7123214204652
oct23740703400
96814656255
102676197120
111153709563
12628305228
133385a13bc
141b55d86d2
15109e32465
hex9f838700

2676197120 has 144 divisors (see below), whose sum is σ = 7145742240. Its totient is φ = 954335232.

The previous prime is 2676197057. The next prime is 2676197123. The reversal of 2676197120 is 217916762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676197123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410204 + ... + 416676.

It is an arithmetic number, because the mean of its divisors is an integer number (49623210).

Almost surely, 22676197120 is an apocalyptic number.

2676197120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572871120).

2676197120 is an abundant number, since it is smaller than the sum of its proper divisors (4469545120).

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

2676197120 is a wasteful number, since it uses less digits than its factorization.

2676197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 2676197120 is about 51731.9738652992. The cubic root of 2676197120 is about 1388.3725963640.

The spelling of 2676197120 in words is "two billion, six hundred seventy-six million, one hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 256 272 304 320 323 340 380 544 608 640 646 680 760 1088 1216 1280 1292 1360 1520 1615 2176 2432 2584 2720 3040 3230 4352 4864 5168 5440 6080 6460 6473 10336 10880 12160 12920 12946 20672 21760 24320 25840 25892 32365 41344 51680 51784 64730 82688 103360 103568 110041 122987 129460 206720 207136 220082 245974 258920 413440 414272 440164 491948 517840 550205 614935 828544 880328 983896 1035680 1100410 1229870 1657088 1760656 1967792 2071360 2090779 2200820 2459740 3521312 3935584 4142720 4181558 4401640 4919480 7042624 7871168 8285440 8363116 8803280 9838960 10453895 14085248 15742336 16726232 17606560 19677920 20907790 28170496 31484672 33452464 35213120 39355840 41815580 66904928 70426240 78711680 83631160 133809856 140852480 157423360 167262320 267619712 334524640 535239424 669049280 1338098560 2676197120