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141045200 = 24522315331
BaseRepresentation
bin10000110100000…
…10110111010000
3100211101211122022
420122002313100
5242101421300
621555031012
73331602332
oct1032026720
9324354568
10141045200
117268638a
123b29b468
13232b4cca
1414a37452
15c5b1285
hex8682dd0

141045200 has 60 divisors (see below), whose sum is σ = 353617248. Its totient is φ = 53961600.

The previous prime is 141045193. The next prime is 141045239. The reversal of 141045200 is 2540141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1535 + ... + 16865.

Almost surely, 2141045200 is an apocalyptic number.

141045200 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 141045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176808624).

141045200 is an abundant number, since it is smaller than the sum of its proper divisors (212572048).

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

141045200 is a wasteful number, since it uses less digits than its factorization.

141045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 141045200 is about 11876.2451978729. The cubic root of 141045200 is about 520.5383969979.

Adding to 141045200 its reverse (2540141), we get a palindrome (143585341).

The spelling of 141045200 in words is "one hundred forty-one million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 15331 30662 61324 76655 122648 153310 245296 306620 352613 383275 613240 705226 766550 1226480 1410452 1533100 1763065 2820904 3066200 3526130 5641808 6132400 7052260 8815325 14104520 17630650 28209040 35261300 70522600 141045200