Search a number
-
+
42100740 = 223251121933
BaseRepresentation
bin1010000010011…
…0100000000100
32221012221100200
42200212200010
541234210430
64102210500
71020564453
oct240464004
987187320
1042100740
1121845a00
1212123a30
138950aa6
14583cb9a
153a69460
hex2826804

42100740 has 108 divisors (see below), whose sum is σ = 140443212. Its totient is φ = 10200960.

The previous prime is 42100733. The next prime is 42100753. The reversal of 42100740 is 4700124.

42100740 = T151 + T152 + ... + T634.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21958596 + 20142144 = 4686^2 + 4488^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20814 + ... + 22746.

Almost surely, 242100740 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 42100740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70221606).

42100740 is an abundant number, since it is smaller than the sum of its proper divisors (98342472).

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

42100740 is a wasteful number, since it uses less digits than its factorization.

42100740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42100740 is about 6488.5083031464. The cubic root of 42100740 is about 347.8803591898.

Adding to 42100740 its reverse (4700124), we get a palindrome (46800864).

The spelling of 42100740 in words is "forty-two million, one hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1933 1980 2178 2420 3630 3866 4356 5445 5799 7260 7732 9665 10890 11598 17397 19330 21263 21780 23196 28995 34794 38660 42526 57990 63789 69588 85052 86985 106315 115980 127578 173970 191367 212630 233893 255156 318945 347940 382734 425260 467786 637890 701679 765468 935572 956835 1169465 1275780 1403358 1913670 2105037 2338930 2806716 3508395 3827340 4210074 4677860 7016790 8420148 10525185 14033580 21050370 42100740