Search a number
-
+
5132536320 = 29351733863
BaseRepresentation
bin1001100011110110…
…00100101000000000
3111020200202212012210
410301323010220000
541002412130240
62205144022120
7241121560512
oct46173045000
914220685183
105132536320
1121a420155a
12bb2a61940
1363a454952
14369921bb2
152008d6780
hex131ec4a00

5132536320 has 160 divisors (see below), whose sum is σ = 16507193472. Its totient is φ = 1360412672.

The previous prime is 5132536313. The next prime is 5132536361. The reversal of 5132536320 is 236352315.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×51325363202 = 52685858152238284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326709 + ... + 1330571.

Almost surely, 25132536320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5132536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253596736).

5132536320 is an abundant number, since it is smaller than the sum of its proper divisors (11374657152).

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

5132536320 is a wasteful number, since it uses less digits than its factorization.

5132536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 5132536320 is about 71641.7219223547. The cubic root of 5132536320 is about 1724.9533077048.

Adding to 5132536320 its reverse (236352315), we get a palindrome (5368888635).

The spelling of 5132536320 in words is "five billion, one hundred thirty-two million, five hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 256 320 346 384 480 512 519 640 692 768 865 960 1038 1280 1384 1536 1730 1920 2076 2560 2595 2768 3460 3840 3863 4152 5190 5536 6920 7680 7726 8304 10380 11072 11589 13840 15452 16608 19315 20760 22144 23178 27680 30904 33216 38630 41520 44288 46356 55360 57945 61808 66432 77260 83040 88576 92712 110720 115890 123616 132864 154520 166080 185424 221440 231780 247232 265728 309040 332160 370848 442880 463560 494464 618080 664320 668299 741696 927120 988928 1236160 1328640 1336598 1483392 1854240 1977856 2004897 2472320 2673196 2966784 3341495 3708480 4009794 4944640 5346392 5933568 6682990 7416960 8019588 9889280 10024485 10692784 13365980 14833920 16039176 20048970 21385568 26731960 29667840 32078352 40097940 42771136 53463920 64156704 80195880 85542272 106927840 128313408 160391760 171084544 213855680 256626816 320783520 342169088 427711360 513253632 641567040 855422720 1026507264 1283134080 1710845440 2566268160 5132536320