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141405260 = 22531792887
BaseRepresentation
bin10000110110110…
…10110001001100
3100212002010112212
420123122301030
5242144432020
622010445552
73334632143
oct1033326114
9325063485
10141405260
1172901957
123b4338b8
13233acb69
1414acc75a
15c632cc5
hex86dac4c

141405260 has 48 divisors (see below), whose sum is σ = 310517760. Its totient is φ = 54025920.

The previous prime is 141405227. The next prime is 141405283. The reversal of 141405260 is 62504141.

141405260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47537 + ... + 50423.

It is an arithmetic number, because the mean of its divisors is an integer number (6469120).

Almost surely, 2141405260 is an apocalyptic number.

141405260 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 141405260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155258880).

141405260 is an abundant number, since it is smaller than the sum of its proper divisors (169112500).

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

141405260 is a wasteful number, since it uses less digits than its factorization.

141405260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 141405260 is about 11891.3943673566. The cubic root of 141405260 is about 520.9809638603.

The spelling of 141405260 in words is "one hundred forty-one million, four hundred five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1580 2449 2887 4898 5774 9796 11548 12245 14435 24490 28870 48980 57740 89497 178994 228073 357988 447485 456146 894970 912292 1140365 1789940 2280730 4561460 7070263 14140526 28281052 35351315 70702630 141405260