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140771400 = 233527112277
BaseRepresentation
bin10000110010000…
…00000001001000
3100210212221001120
420121000001020
5242014141100
621545115240
73326352150
oct1031000110
9323787046
10140771400
1172509700
123b188b20
132321a4b3
14149a5760
15c55a0a0
hex8640048

140771400 has 288 divisors, whose sum is σ = 550173120. Its totient is φ = 29145600.

The previous prime is 140771387. The next prime is 140771401. The reversal of 140771400 is 4177041.

140771400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (140771401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 508062 + ... + 508338.

Almost surely, 2140771400 is an apocalyptic number.

140771400 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 140771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275086560).

140771400 is an abundant number, since it is smaller than the sum of its proper divisors (409401720).

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

140771400 is a wasteful number, since it uses less digits than its factorization.

140771400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 140771400 is about 11864.7123858946. The cubic root of 140771400 is about 520.2013520036.

The spelling of 140771400 in words is "one hundred forty million, seven hundred seventy-one thousand, four hundred".