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141024320 = 265736037
BaseRepresentation
bin10000110011111…
…01110001000000
3100211100202222222
420121331301000
5242100234240
621554350212
73331454423
oct1031756100
9324322888
10141024320
1172671728
123b28b368
13232a8658
1414a2d9ba
15c5a9eb5
hex867dc40

141024320 has 56 divisors (see below), whose sum is σ = 340470744. Its totient is φ = 55627776.

The previous prime is 141024311. The next prime is 141024329. The reversal of 141024320 is 23420141.

It is an interprime number because it is at equal distance from previous prime (141024311) and next prime (141024329).

It can be written as a sum of positive squares in 4 ways, for example, as 5161984 + 135862336 = 2272^2 + 11656^2 .

It is not an unprimeable number, because it can be changed into a prime (141024329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20342 + ... + 26378.

Almost surely, 2141024320 is an apocalyptic number.

141024320 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 141024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170235372).

141024320 is an abundant number, since it is smaller than the sum of its proper divisors (199446424).

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

141024320 is an equidigital number, since it uses as much as digits as its factorization.

141024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 141024320 is about 11875.3660996198. The cubic root of 141024320 is about 520.5127093032.

Adding to 141024320 its reverse (23420141), we get a palindrome (164444461).

The spelling of 141024320 in words is "one hundred forty-one million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 6037 11680 12074 23360 24148 30185 48296 60370 96592 120740 193184 241480 386368 440701 482960 881402 965920 1762804 1931840 2203505 3525608 4407010 7051216 8814020 14102432 17628040 28204864 35256080 70512160 141024320