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141152768 = 291716217
BaseRepresentation
bin10000110100111…
…01001000000000
3100211121022012022
420122131020000
5242113342033
622001221012
73332531051
oct1032351000
9324538168
10141152768
117274a189
123b331768
1323321c63
1414a64728
15c5d3098
hex869d200

141152768 has 40 divisors (see below), whose sum is σ = 298638252. Its totient is φ = 66420736.

The previous prime is 141152761. The next prime is 141152783. The reversal of 141152768 is 867251141.

It can be written as a sum of positive squares in 2 ways, for example, as 127961344 + 13191424 = 11312^2 + 3632^2 .

It is not an unprimeable number, because it can be changed into a prime (141152761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 596 + ... + 16812.

Almost surely, 2141152768 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 141152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149319126).

141152768 is an abundant number, since it is smaller than the sum of its proper divisors (157485484).

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

141152768 is an equidigital number, since it uses as much as digits as its factorization.

141152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16252 (or 16236 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 141152768 is about 11880.7730388220. The cubic root of 141152768 is about 520.6706927582.

The spelling of 141152768 in words is "one hundred forty-one million, one hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 16217 32434 64868 129736 259472 275689 518944 551378 1037888 1102756 2075776 2205512 4151552 4411024 8303104 8822048 17644096 35288192 70576384 141152768