Search a number
-
+
141345360 = 243251315101
BaseRepresentation
bin10000110110011…
…00001001010000
3100211222002101100
420123030021100
5242141022420
622005304400
73334262412
oct1033141120
9324862340
10141345360
1172870952
123b405100
132338b810
1414ab49b2
15c620190
hex86cc250

141345360 has 120 divisors (see below), whose sum is σ = 511232904. Its totient is φ = 34790400.

The previous prime is 141345353. The next prime is 141345367. The reversal of 141345360 is 63543141.

It is an interprime number because it is at equal distance from previous prime (141345353) and next prime (141345367).

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 140280336 = 1032^2 + 11844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141345367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1810 + ... + 16910.

Almost surely, 2141345360 is an apocalyptic number.

141345360 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 141345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255616452).

141345360 is an abundant number, since it is smaller than the sum of its proper divisors (369887544).

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

141345360 is a wasteful number, since it uses less digits than its factorization.

141345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15133 (or 15124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 141345360 is about 11888.8754724743. The cubic root of 141345360 is about 520.9073900597.

The spelling of 141345360 in words is "one hundred forty-one million, three hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 15101 30202 45303 60404 75505 90606 120808 135909 151010 181212 196313 226515 241616 271818 302020 362424 392626 453030 543636 588939 604040 679545 724848 785252 906060 981565 1087272 1177878 1208080 1359090 1570504 1766817 1812120 1963130 2174544 2355756 2718180 2944695 3141008 3533634 3624240 3926260 4711512 5436360 5889390 7067268 7852520 8834085 9423024 10872720 11778780 14134536 15705040 17668170 23557560 28269072 35336340 47115120 70672680 141345360