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2130967280 = 2451331157421
BaseRepresentation
bin111111100000011…
…1111101011110000
312111111210100120002
41333000333223300
513331011423110
6551242005132
7103543631411
oct17700775360
95444710502
102130967280
119a396a292
124b57a67a8
1327c6411b0
1416302b808
15c7132aa5
hex7f03faf0

2130967280 has 160 divisors (see below), whose sum is σ = 5555977728. Its totient is φ = 754790400.

The previous prime is 2130967271. The next prime is 2130967283. The reversal of 2130967280 is 827690312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130967283) 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 31 ways as a sum of consecutive naturals, for example, 5061470 + ... + 5061890.

Almost surely, 22130967280 is an apocalyptic number.

2130967280 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 2130967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777988864).

2130967280 is an abundant number, since it is smaller than the sum of its proper divisors (3425010448).

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

2130967280 is a wasteful number, since it uses less digits than its factorization.

2130967280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2130967280 is about 46162.4011507201. The cubic root of 2130967280 is about 1286.8430868845.

The spelling of 2130967280 in words is "two billion, one hundred thirty million, nine hundred sixty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 157 208 248 260 310 314 403 421 496 520 620 628 785 806 842 1040 1240 1256 1570 1612 1684 2015 2041 2105 2480 2512 3140 3224 3368 4030 4082 4210 4867 5473 6280 6448 6736 8060 8164 8420 9734 10205 10946 12560 13051 16120 16328 16840 19468 20410 21892 24335 26102 27365 32240 32656 33680 38936 40820 43784 48670 52204 54730 63271 65255 66097 77872 81640 87568 97340 104408 109460 126542 130510 132194 163280 169663 194680 208816 218920 253084 261020 264388 316355 330485 339326 389360 437840 506168 522040 528776 632710 660970 678652 848315 859261 1012336 1044080 1057552 1265420 1321940 1357304 1696630 1718522 2049007 2530840 2643880 2714608 3393260 3437044 4098014 4296305 5061680 5287760 6786520 6874088 8196028 8592610 10245035 13573040 13748176 16392056 17185220 20490070 26637091 32784112 34370440 40980140 53274182 68740880 81960280 106548364 133185455 163920560 213096728 266370910 426193456 532741820 1065483640 2130967280