Search a number
-
+
42140736 = 263411739
BaseRepresentation
bin1010000011000…
…0010001000000
32221021222020000
42200300101000
541242000421
64103120000
71021122201
oct240602100
987258200
1042140736
1121872a60
1212143000
138966061
14584d5a8
153a76226
hex2830440

42140736 has 140 divisors (see below), whose sum is σ = 136458960. Its totient is φ = 12752640.

The previous prime is 42140729. The next prime is 42140767. The reversal of 42140736 is 63704124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56655 + ... + 57393.

Almost surely, 242140736 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 42140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68229480).

42140736 is an abundant number, since it is smaller than the sum of its proper divisors (94318224).

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

42140736 is a wasteful number, since it uses less digits than its factorization.

42140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42140736 is about 6491.5896358288. The cubic root of 42140736 is about 347.9904872548.

The spelling of 42140736 in words is "forty-two million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 739 792 864 891 1056 1188 1296 1478 1584 1728 1782 2112 2217 2376 2592 2956 3168 3564 4434 4752 5184 5912 6336 6651 7128 8129 8868 9504 11824 13302 14256 16258 17736 19008 19953 23648 24387 26604 28512 32516 35472 39906 47296 48774 53208 57024 59859 65032 70944 73161 79812 97548 106416 119718 130064 141888 146322 159624 195096 212832 219483 239436 260128 292644 319248 390192 425664 438966 478872 520256 585288 638496 658449 780384 877932 957744 1170576 1276992 1316898 1560768 1755864 1915488 2341152 2633796 3511728 3830976 4682304 5267592 7023456 10535184 14046912 21070368 42140736