Search a number
-
+
537101040 = 243573110313
BaseRepresentation
bin100000000000111…
…000001011110000
31101102122120010010
4200000320023300
52044444213130
6125143534520
716211166150
oct4000701360
91342576103
10537101040
112561a7a63
1212ba5a440
1387375288
1451492760
15322460b0
hex200382f0

537101040 has 160 divisors (see below), whose sum is σ = 1964445696. Its totient is φ = 118794240.

The previous prime is 537101039. The next prime is 537101053. The reversal of 537101040 is 40101735.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 537100998 and 537101016.

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, 46924 + ... + 57236.

Almost surely, 2537101040 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 537101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982222848).

537101040 is an abundant number, since it is smaller than the sum of its proper divisors (1427344656).

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

537101040 is a wasteful number, since it uses less digits than its factorization.

537101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10367 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 537101040 is about 23175.4404488890. The cubic root of 537101040 is about 812.8654494876.

Adding to 537101040 its reverse (40101735), we get a palindrome (577202775).

The spelling of 537101040 in words is "five hundred thirty-seven million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10313 10416 13020 17360 20626 26040 30939 41252 51565 52080 61878 72191 82504 103130 123756 144382 154695 165008 206260 216573 247512 288764 309390 319703 360955 412520 433146 495024 577528 618780 639406 721910 825040 866292 959109 1082865 1155056 1237560 1278812 1443820 1598515 1732584 1918218 2165730 2237921 2475120 2557624 2887640 3197030 3465168 3836436 4331460 4475842 4795545 5115248 5775280 6394060 6713763 7672872 8662920 8951684 9591090 11189605 12788120 13427526 15345744 17325840 17903368 19182180 22379210 25576240 26855052 33568815 35806736 38364360 44758420 53710104 67137630 76728720 89516840 107420208 134275260 179033680 268550520 537101040