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141132780 = 2234587119
BaseRepresentation
bin10000110100110…
…00001111101100
3100211120021210000
420122120033230
5242112222110
622000544300
73332415555
oct1032301754
9324507700
10141132780
1172736168
123b322090
1323315b29
1414a5b32c
15c5cc1c0
hex86983ec

141132780 has 60 divisors (see below), whose sum is σ = 442743840. Its totient is φ = 37634976.

The previous prime is 141132757. The next prime is 141132781. The reversal of 141132780 is 87231141.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141132781) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 41940 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (7379064).

Almost surely, 2141132780 is an apocalyptic number.

141132780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132780 is an abundant number, since it is smaller than the sum of its proper divisors (301611060).

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

141132780 is a wasteful number, since it uses less digits than its factorization.

141132780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87140 (or 87129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 141132780 is about 11879.9318179862. The cubic root of 141132780 is about 520.6461149969.

It can be divided in two parts, 1411 and 32780, that added together give a triangular number (34191 = T261).

The spelling of 141132780 in words is "one hundred forty-one million, one hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 87119 174238 261357 348476 435595 522714 784071 871190 1045428 1306785 1568142 1742380 2352213 2613570 3136284 3920355 4704426 5227140 7056639 7840710 9408852 11761065 14113278 15681420 23522130 28226556 35283195 47044260 70566390 141132780