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141260704 = 25132411409
BaseRepresentation
bin10000110101101…
…11011110100000
3100211210210020221
420122313132200
5242130320304
622003412424
73333460534
oct1032673640
9324723227
10141260704
1172813292
123b384114
132335c120
1414a91bc4
15c605054
hex86b77a0

141260704 has 48 divisors (see below), whose sum is σ = 300956040. Its totient is φ = 64880640.

The previous prime is 141260699. The next prime is 141260729. The reversal of 141260704 is 407062141.

141260704 is digitally balanced in base 2 and base 3, because in such bases 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 69689104 + 71571600 = 8348^2 + 8460^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99552 + ... + 100960.

Almost surely, 2141260704 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 141260704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150478020).

141260704 is an abundant number, since it is smaller than the sum of its proper divisors (159695336).

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

141260704 is a wasteful number, since it uses less digits than its factorization.

141260704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 141260704 is about 11885.3146361382. The cubic root of 141260704 is about 520.8033735741.

The spelling of 141260704 in words is "one hundred forty-one million, two hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 241 416 482 964 1409 1928 2818 3133 3856 5636 6266 7712 11272 12532 18317 22544 25064 36634 45088 50128 73268 100256 146536 293072 339569 586144 679138 1358276 2716552 4414397 5433104 8828794 10866208 17657588 35315176 70630352 141260704