Search a number
-
+
2037042 = 233717317
BaseRepresentation
bin111110001010100110010
310211111022000
413301110302
51010141132
6111354430
723212620
oct7612462
93744260
102037042
111171507
12822a16
13564267
143b0510
152a387c
hex1f1532

2037042 has 64 divisors (see below), whose sum is σ = 5495040. Its totient is φ = 546048.

The previous prime is 2037037. The next prime is 2037043. The reversal of 2037042 is 2407302.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2037043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6268 + ... + 6584.

It is an arithmetic number, because the mean of its divisors is an integer number (85860).

22037042 is an apocalyptic number.

2037042 is the 714-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2037042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747520).

2037042 is an abundant number, since it is smaller than the sum of its proper divisors (3457998).

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

2037042 is a wasteful number, since it uses less digits than its factorization.

2037042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2037042 is about 1427.2498029427. The cubic root of 2037042 is about 126.7651849739.

The spelling of 2037042 in words is "two million, thirty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 317 357 378 459 634 714 918 951 1071 1902 2142 2219 2853 3213 4438 5389 5706 6426 6657 8559 10778 13314 16167 17118 19971 32334 37723 39942 48501 59913 75446 97002 113169 119826 145503 226338 291006 339507 679014 1018521 2037042