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140040900 = 22365217113
BaseRepresentation
bin10000101100011…
…01101011000100
3100202111211000000
420112031223010
5241322302100
621521321300
73320220336
oct1026155304
9322454000
10140040900
117205a88a
123aa96230
1323022b4c
1414855456
15c463900
hex858dac4

140040900 has 252 divisors, whose sum is σ = 486695412. Its totient is φ = 34836480.

The previous prime is 140040889. The next prime is 140040947. The reversal of 140040900 is 9040041.

It can be written as a sum of positive squares in 6 ways, for example, as 13883076 + 126157824 = 3726^2 + 11232^2 .

It is a super-2 number, since 2×1400409002 = 39222907345620000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1239244 + ... + 1239356.

It is an arithmetic number, because the mean of its divisors is an integer number (1931331).

Almost surely, 2140040900 is an apocalyptic number.

140040900 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 140040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243347706).

140040900 is an abundant number, since it is smaller than the sum of its proper divisors (346654512).

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

140040900 is a wasteful number, since it uses less digits than its factorization.

140040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140040900 is about 11833.8877804380. The cubic root of 140040900 is about 519.2999702639.

Adding to 140040900 its reverse (9040041), we get a palindrome (149080941).

The spelling of 140040900 in words is "one hundred forty million, forty thousand, nine hundred".