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141979920 = 24351722389
BaseRepresentation
bin10000111011001…
…11000100010000
3100220011022211120
420131213010100
5242321324140
622031042240
73342544425
oct1035470420
9326138746
10141979920
1173164685
123b670380
13235515b4
1414bdbd4c
15c6e81d0
hex8767110

141979920 has 240 divisors, whose sum is σ = 493361280. Its totient is φ = 33701888.

The previous prime is 141979909. The next prime is 141979921. The reversal of 141979920 is 29979141.

141979920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141979921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1595236 + ... + 1595324.

It is an arithmetic number, because the mean of its divisors is an integer number (2055672).

Almost surely, 2141979920 is an apocalyptic number.

141979920 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 141979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246680640).

141979920 is an abundant number, since it is smaller than the sum of its proper divisors (351381360).

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

141979920 is a wasteful number, since it uses less digits than its factorization.

141979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 141979920 is about 11915.5327199416. The cubic root of 141979920 is about 521.6857520512.

The spelling of 141979920 in words is "one hundred forty-one million, nine hundred seventy-nine thousand, nine hundred twenty".