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2092941960 = 2335194719531
BaseRepresentation
bin111110010111111…
…1100001010001000
312101212020110121220
41330233330022020
513241243120320
6543403002040
7102602466414
oct17457741210
95355213556
102092941960
119844582aa
124a4b09320
132747b93c5
1415bd6dd44
15c3b20e40
hex7cbfc288

2092941960 has 128 divisors (see below), whose sum is σ = 6750259200. Its totient is φ = 517466880.

The previous prime is 2092941953. The next prime is 2092941973. The reversal of 2092941960 is 691492902.

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, 97395 + ... + 116925.

It is an arithmetic number, because the mean of its divisors is an integer number (52736400).

Almost surely, 22092941960 is an apocalyptic number.

2092941960 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 2092941960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375129600).

2092941960 is an abundant number, since it is smaller than the sum of its proper divisors (4657317240).

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

2092941960 is a wasteful number, since it uses less digits than its factorization.

2092941960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19611 (or 19607 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 2092941960 is about 45748.6826039833. The cubic root of 2092941960 is about 1279.1428913636.

The spelling of 2092941960 in words is "two billion, ninety-two million, nine hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1128 1140 1410 1786 1880 2280 2679 2820 3572 4465 5358 5640 7144 8930 10716 13395 17860 19531 21432 26790 35720 39062 53580 58593 78124 97655 107160 117186 156248 195310 234372 292965 371089 390620 468744 585930 742178 781240 917957 1113267 1171860 1484356 1835914 1855445 2226534 2343720 2753871 2968712 3671828 3710890 4453068 4589785 5507742 5566335 7343656 7421780 8906136 9179570 11015484 11132670 13769355 14843560 17441183 18359140 22030968 22265340 27538710 34882366 36718280 44530680 52323549 55077420 69764732 87205915 104647098 110154840 139529464 174411830 209294196 261617745 348823660 418588392 523235490 697647320 1046470980 2092941960