Search a number
-
+
1042698880 = 2754179503
BaseRepresentation
bin111110001001100…
…101001010000000
32200200000120222001
4332021211022000
54113412331010
6251244353344
734560536266
oct7611451200
92620016861
101042698880
11495638113
12251245854
1313803a2b2
149c6a4436
1561817c3a
hex3e265280

1042698880 has 128 divisors (see below), whose sum is σ = 2590963200. Its totient is φ = 400957440.

The previous prime is 1042698869. The next prime is 1042698889. The reversal of 1042698880 is 888962401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1042698880.

It is not an unprimeable number, because it can be changed into a prime (1042698889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072709 + ... + 2073211.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 21042698880 is an apocalyptic number.

1042698880 is a gapful number since it is divisible by the number (10) 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 1042698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

1042698880 is an abundant number, since it is smaller than the sum of its proper divisors (1548264320).

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

1042698880 is an equidigital number, since it uses as much as digits as its factorization.

1042698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 1042698880 is about 32290.8482390909. The cubic root of 1042698880 is about 1014.0350556579.

The spelling of 1042698880 in words is "one billion, forty-two million, six hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 79 80 82 128 158 160 164 205 316 320 328 395 410 503 632 640 656 790 820 1006 1264 1312 1580 1640 2012 2515 2528 2624 3160 3239 3280 4024 5030 5056 5248 6320 6478 6560 8048 10060 10112 12640 12956 13120 16096 16195 20120 20623 25280 25912 26240 32192 32390 39737 40240 41246 50560 51824 64384 64780 79474 80480 82492 103115 103648 129560 158948 160960 164984 198685 206230 207296 259120 317896 321920 329968 397370 412460 414592 518240 635792 659936 794740 824920 1036480 1271584 1319872 1589480 1629217 1649840 2072960 2543168 2639744 3178960 3258434 3299680 5086336 6357920 6516868 6599360 8146085 12715840 13033736 13198720 16292170 25431680 26067472 32584340 52134944 65168680 104269888 130337360 208539776 260674720 521349440 1042698880