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141916536 = 2334389563
BaseRepresentation
bin10000111010101…
…11100101111000
3100220001002220000
420131113211320
5242312312121
622025433000
73342161556
oct1035274570
9326032800
10141916536
1173120aa3
123b63b760
132352b7a8
1414bc2bd6
15c6d4526
hex8757978

141916536 has 80 divisors (see below), whose sum is σ = 399227400. Its totient is φ = 47100096.

The previous prime is 141916513. The next prime is 141916549. The reversal of 141916536 is 635619141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141916536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251791 + ... + 252353.

Almost surely, 2141916536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141916536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199613700).

141916536 is an abundant number, since it is smaller than the sum of its proper divisors (257310864).

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

141916536 is a wasteful number, since it uses less digits than its factorization.

141916536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 957 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 141916536 is about 11912.8727014100. The cubic root of 141916536 is about 521.6081085564.

Adding to 141916536 its product of digits (19440), we get a triangular number (141935976 = T16848).

It can be divided in two parts, 1419 and 16536, that added together give a triangular number (17955 = T189).

The spelling of 141916536 in words is "one hundred forty-one million, nine hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 389 563 648 778 1126 1167 1556 1689 2252 2334 3112 3378 3501 4504 4668 5067 6756 7002 9336 10134 10503 13512 14004 15201 20268 21006 28008 30402 31509 40536 42012 45603 60804 63018 84024 91206 121608 126036 182412 219007 252072 364824 438014 657021 876028 1314042 1752056 1971063 2628084 3942126 5256168 5913189 7884252 11826378 15768504 17739567 23652756 35479134 47305512 70958268 141916536