Search a number
-
+
142091040 = 25357133253
BaseRepresentation
bin10000111100000…
…10001100100000
3100220100222021010
420132002030200
5242333403130
622033300520
73343516410
oct1036021440
9326328233
10142091040
1173230113
123b704740
1323590050
1414c2a640
15c71b0b0
hex8782320

142091040 has 192 divisors, whose sum is σ = 551045376. Its totient is φ = 29970432.

The previous prime is 142091017. The next prime is 142091041. The reversal of 142091040 is 40190241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142090998 and 142091016.

It is not an unprimeable number, because it can be changed into a prime (142091041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42054 + ... + 45306.

It is an arithmetic number, because the mean of its divisors is an integer number (2870028).

Almost surely, 2142091040 is an apocalyptic number.

142091040 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 142091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275522688).

142091040 is an abundant number, since it is smaller than the sum of its proper divisors (408954336).

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

142091040 is a wasteful number, since it uses less digits than its factorization.

142091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 142091040 is about 11920.1946292835. The cubic root of 142091040 is about 521.8218149632.

The spelling of 142091040 in words is "one hundred forty-two million, ninety-one thousand, forty".