Search a number
-
+
2532126080 = 27511379721
BaseRepresentation
bin1001011011101101…
…0010110110000000
320112110122022222102
42112323102312000
520141211013310
61055132125532
7116514500531
oct22673226600
96473568872
102532126080
11108a356890
125a80068a8
1331479a073
141a0414688
15ec4748a5
hex96ed2d80

2532126080 has 128 divisors (see below), whose sum is σ = 6782844960. Its totient is φ = 895795200.

The previous prime is 2532126073. The next prime is 2532126089. The reversal of 2532126080 is 806212352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532126089) 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, 255620 + ... + 265340.

Almost surely, 22532126080 is an apocalyptic number.

2532126080 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 2532126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391422480).

2532126080 is an abundant number, since it is smaller than the sum of its proper divisors (4250718880).

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

2532126080 is a wasteful number, since it uses less digits than its factorization.

2532126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2532126080 is about 50320.2352935675. The cubic root of 2532126080 is about 1362.9976554275.

The spelling of 2532126080 in words is "two billion, five hundred thirty-two million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 128 148 160 176 185 220 296 320 352 370 407 440 592 640 704 740 814 880 1184 1408 1480 1628 1760 2035 2368 2960 3256 3520 4070 4736 5920 6512 7040 8140 9721 11840 13024 16280 19442 23680 26048 32560 38884 48605 52096 65120 77768 97210 106931 130240 155536 194420 213862 260480 311072 359677 388840 427724 534655 622144 719354 777680 855448 1069310 1244288 1438708 1555360 1710896 1798385 2138620 2877416 3110720 3421792 3596770 3956447 4277240 5754832 6221440 6843584 7193540 7912894 8554480 11509664 13687168 14387080 15825788 17108960 19782235 23019328 28774160 31651576 34217920 39564470 46038656 57548320 63303152 68435840 79128940 115096640 126606304 158257880 230193280 253212608 316515760 506425216 633031520 1266063040 2532126080