[go: up one dir, main page]

Search a number
-
+
2190342 = 237112431
BaseRepresentation
bin1000010110110000000110
311010021120210
420112300012
51030042332
6114540250
724421560
oct10266006
94107523
102190342
111266700
12897686
135b8c7b
14410330
152d3ecc
hex216c06

2190342 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 567600.

The previous prime is 2190337. The next prime is 2190347. The reversal of 2190342 is 2430912.

It is an interprime number because it is at equal distance from previous prime (2190337) and next prime (2190347).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4867 + ... + 5297.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22190342 is an apocalyptic number.

2190342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2190342 is an abundant number, since it is smaller than the sum of its proper divisors (3325434).

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

2190342 is a wasteful number, since it uses less digits than its factorization.

2190342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2190342 is about 1479.9804052757. The cubic root of 2190342 is about 129.8685456208.

It can be divided in two parts, 21903 and 42, that added together give a triangular number (21945 = T209).

The spelling of 2190342 in words is "two million, one hundred ninety thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 431 462 726 847 862 1293 1694 2541 2586 3017 4741 5082 6034 9051 9482 14223 18102 28446 33187 52151 66374 99561 104302 156453 199122 312906 365057 730114 1095171 2190342