Search a number
-
+
142122040 = 23517297207
BaseRepresentation
bin10000111100010…
…01110000111000
3100220102112210021
420132021300320
5242340401130
622034100224
73344005654
oct1036116070
9326375707
10142122040
1173251435
123b71a674
13235a11a8
1414c37a64
15c72537a
hex8789c38

142122040 has 64 divisors (see below), whose sum is σ = 350308800. Its totient is φ = 51652608.

The previous prime is 142122007. The next prime is 142122047. The reversal of 142122040 is 40221241.

142122040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142122047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16117 + ... + 23323.

It is an arithmetic number, because the mean of its divisors is an integer number (5473575).

Almost surely, 2142122040 is an apocalyptic number.

142122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175154400).

142122040 is an abundant number, since it is smaller than the sum of its proper divisors (208186760).

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

142122040 is a wasteful number, since it uses less digits than its factorization.

142122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142122040 is about 11921.4948727079. The cubic root of 142122040 is about 521.8597608229.

Adding to 142122040 its reverse (40221241), we get a palindrome (182343281).

The spelling of 142122040 in words is "one hundred forty-two million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 7207 9860 14414 19720 28828 36035 57656 72070 122519 144140 209003 245038 288280 418006 490076 612595 836012 980152 1045015 1225190 1672024 2090030 2450380 3553051 4180060 4900760 7106102 8360120 14212204 17765255 28424408 35530510 71061020 142122040