Search a number
-
+
2032996080 = 2435371791279
BaseRepresentation
bin111100100101101…
…0000111011110000
312020200102220100010
41321023100323300
513130421333310
6533422054520
7101244116163
oct17113207360
95220386303
102032996080
11953634055
12488a1a440
1326525ac7b
14154007ada
15bd72e320
hex792d0ef0

2032996080 has 160 divisors (see below), whose sum is σ = 6513868800. Its totient is φ = 524123136.

The previous prime is 2032996003. The next prime is 2032996093. The reversal of 2032996080 is 806992302.

It is a super-2 number, since 2×20329960802 = 8266146122590732800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588881 + ... + 1590159.

It is an arithmetic number, because the mean of its divisors is an integer number (40711680).

Almost surely, 22032996080 is an apocalyptic number.

2032996080 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 2032996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256934400).

2032996080 is an abundant number, since it is smaller than the sum of its proper divisors (4480872720).

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

2032996080 is a wasteful number, since it uses less digits than its factorization.

2032996080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2032996080 is about 45088.7578005871. The cubic root of 2032996080 is about 1266.8120344090.

The spelling of 2032996080 in words is "two billion, thirty-two million, nine hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 179 185 222 240 296 358 370 444 537 555 592 716 740 888 895 1074 1110 1279 1432 1480 1776 1790 2148 2220 2558 2685 2864 2960 3580 3837 4296 4440 5116 5370 6395 6623 7160 7674 8592 8880 10232 10740 12790 13246 14320 15348 19185 19869 20464 21480 25580 26492 30696 33115 38370 39738 42960 47323 51160 52984 61392 66230 76740 79476 94646 99345 102320 105968 132460 141969 153480 158952 189292 198690 228941 236615 264920 283938 306960 317904 378584 397380 457882 473230 529840 567876 686823 709845 757168 794760 915764 946460 1135752 1144705 1373646 1419690 1589520 1831528 1892920 2271504 2289410 2747292 2839380 3434115 3663056 3785840 4578820 5494584 5678760 6868230 8470817 9157640 10989168 11357520 13736460 16941634 18315280 25412451 27472920 33883268 42354085 50824902 54945840 67766536 84708170 101649804 127062255 135533072 169416340 203299608 254124510 338832680 406599216 508249020 677665360 1016498040 2032996080