Search a number
-
+
537105114 = 233713293769
BaseRepresentation
bin100000000000111…
…001001011011010
31101102122202201000
4200000321023122
52044444330424
6125144005430
716211214060
oct4000711332
91342582630
10537105114
11256200027
1212ba60876
13873770a0
1451494030
15322473c9
hex200392da

537105114 has 128 divisors (see below), whose sum is σ = 1520064000. Its totient is φ = 136733184.

The previous prime is 537105103. The next prime is 537105187. The reversal of 537105114 is 411501735.

537105114 is a `hidden beast` number, since 537 + 10 + 5 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140622 + ... + 144390.

It is an arithmetic number, because the mean of its divisors is an integer number (11875500).

Almost surely, 2537105114 is an apocalyptic number.

537105114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 537105114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760032000).

537105114 is an abundant number, since it is smaller than the sum of its proper divisors (982958886).

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

537105114 is a wasteful number, since it uses less digits than its factorization.

537105114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 537105114 is about 23175.5283434920. The cubic root of 537105114 is about 812.8675047219.

Adding to 537105114 its reverse (411501735), we get a palindrome (948606849).

The spelling of 537105114 in words is "five hundred thirty-seven million, one hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 54 58 63 78 87 91 117 126 174 182 189 203 234 261 273 351 377 378 406 522 546 609 702 754 783 819 1131 1218 1566 1638 1827 2262 2457 2639 3393 3654 3769 4914 5278 5481 6786 7538 7917 10179 10962 11307 15834 20358 22614 23751 26383 33921 47502 48997 52766 67842 71253 79149 97994 101763 109301 142506 146991 158298 203526 218602 237447 293982 327903 342979 440973 474894 655806 685958 712341 765107 881946 983709 1028937 1322919 1420913 1424682 1530214 1967418 2057874 2295321 2645838 2841826 2951127 3086811 4262739 4590642 5902254 6173622 6885963 8525478 9260433 9946391 12788217 13771926 18520866 19892782 20657889 25576434 29839173 38364651 41315778 59678346 76729302 89517519 179035038 268552557 537105114