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141213460 = 22537190829
BaseRepresentation
bin10000110101010…
…11111100010100
3100211201101110011
420122223330110
5242122312320
622002410004
73333203023
oct1032537424
9324641404
10141213460
1172790843
123b360904
132334377b
1414a7c8ba
15c5e605a
hex86abf14

141213460 has 24 divisors (see below), whose sum is σ = 304564680. Its totient is φ = 54958464.

The previous prime is 141213437. The next prime is 141213467. The reversal of 141213460 is 64312141.

141213460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67699984 + 73513476 = 8228^2 + 8574^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141213467) 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, 94675 + ... + 96154.

It is an arithmetic number, because the mean of its divisors is an integer number (12690195).

Almost surely, 2141213460 is an apocalyptic number.

141213460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141213460 is an abundant number, since it is smaller than the sum of its proper divisors (163351220).

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

141213460 is a wasteful number, since it uses less digits than its factorization.

141213460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190875 (or 190873 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 141213460 is about 11883.3269752204. The cubic root of 141213460 is about 520.7453069937.

The spelling of 141213460 in words is "one hundred forty-one million, two hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 190829 381658 763316 954145 1908290 3816580 7060673 14121346 28242692 35303365 70606730 141213460