Search a number
-
+
140090880 = 2935172937
BaseRepresentation
bin10000101100110…
…01111000000000
3100202121100120010
420112121320000
5241330402010
621522344520
73320516136
oct1026317000
9322540503
10140090880
1172094396
123aabb140
132303c817
1414869756
15c473620
hex8599e00

140090880 has 320 divisors, whose sum is σ = 503807040. Its totient is φ = 33030144.

The previous prime is 140090827. The next prime is 140090911. The reversal of 140090880 is 88090041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3786222 + ... + 3786258.

It is an arithmetic number, because the mean of its divisors is an integer number (1574397).

Almost surely, 2140090880 is an apocalyptic number.

140090880 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 140090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

140090880 is an abundant number, since it is smaller than the sum of its proper divisors (363716160).

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

140090880 is a wasteful number, since it uses less digits than its factorization.

140090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 140090880 is about 11835.9993240960. Note that the first 3 decimals coincide. The cubic root of 140090880 is about 519.3617415641.

The spelling of 140090880 in words is "one hundred forty million, ninety thousand, eight hundred eighty".