Search a number
-
+
37142430 = 23513131727
BaseRepresentation
bin1000110110101…
…1111110011110
32120220000211120
42031223332132
534002024210
63404031410
7630463653
oct215537636
976800746
1037142430
1119a69726
1210532566
137905c90
144d0bc2a
1533da270
hex236bf9e

37142430 has 64 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 9060480.

The previous prime is 37142423. The next prime is 37142461. The reversal of 37142430 is 3424173.

It is a self number, because there is not a number n which added to its sum of digits gives 37142430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50727 + ... + 51453.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 237142430 is an apocalyptic number.

37142430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37142430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

37142430 is an abundant number, since it is smaller than the sum of its proper divisors (59722338).

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

37142430 is a wasteful number, since it uses less digits than its factorization.

37142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 37142430 is about 6094.4589587592. The cubic root of 37142430 is about 333.6492127882.

The spelling of 37142430 in words is "thirty-seven million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 131 195 262 390 393 655 727 786 1310 1454 1703 1965 2181 3406 3635 3930 4362 5109 7270 8515 9451 10218 10905 17030 18902 21810 25545 28353 47255 51090 56706 94510 95237 141765 190474 283530 285711 476185 571422 952370 1238081 1428555 2476162 2857110 3714243 6190405 7428486 12380810 18571215 37142430