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141164240 = 2457252079
BaseRepresentation
bin10000110100111…
…11111011010000
3100211121212221012
420122133323100
5242114223430
622001350052
73332606360
oct1032377320
9324555835
10141164240
1172757868
123b338328
1323327249
1414a689a0
15c5d6695
hex869fed0

141164240 has 40 divisors (see below), whose sum is σ = 375095040. Its totient is φ = 48398976.

The previous prime is 141164237. The next prime is 141164249. The reversal of 141164240 is 42461141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141164249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125480 + ... + 126599.

It is an arithmetic number, because the mean of its divisors is an integer number (9377376).

Almost surely, 2141164240 is an apocalyptic number.

141164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141164240 is an abundant number, since it is smaller than the sum of its proper divisors (233930800).

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

141164240 is a wasteful number, since it uses less digits than its factorization.

141164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252099 (or 252093 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 141164240 is about 11881.2558258797. The cubic root of 141164240 is about 520.6847979778.

The spelling of 141164240 in words is "one hundred forty-one million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 252079 504158 1008316 1260395 1764553 2016632 2520790 3529106 4033264 5041580 7058212 8822765 10083160 14116424 17645530 20166320 28232848 35291060 70582120 141164240