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2030742 = 232771227
BaseRepresentation
bin111101111110010010110
310211011122200
413233302112
51004440432
6111305330
723155350
oct7576226
93734580
102030742
1111677aa
1281b246
1356142c
143ac0d0
152a1a7c
hex1efc96

2030742 has 48 divisors (see below), whose sum is σ = 5121792. Its totient is φ = 569520.

The previous prime is 2030737. The next prime is 2030747. The reversal of 2030742 is 2470302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2030737) and next prime (2030747).

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

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030747) 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, 8833 + ... + 9059.

It is an arithmetic number, because the mean of its divisors is an integer number (106704).

22030742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560896).

2030742 is an abundant number, since it is smaller than the sum of its proper divisors (3091050).

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

2030742 is a wasteful number, since it uses less digits than its factorization.

2030742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

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

The square root of 2030742 is about 1425.0410520403. The cubic root of 2030742 is about 126.6343669567.

It can be divided in two parts, 2030 and 742, that added together give a palindrome (2772).

The spelling of 2030742 in words is "two million, thirty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 227 426 454 497 639 681 994 1278 1362 1491 1589 2043 2982 3178 4086 4473 4767 8946 9534 14301 16117 28602 32234 48351 96702 112819 145053 225638 290106 338457 676914 1015371 2030742