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141980192 = 2517359727
BaseRepresentation
bin10000111011001…
…11001000100000
3100220011100012122
420131213020200
5242321331232
622031043412
73342545264
oct1035471040
9326140178
10141980192
1173164902
123b670568
1323551763
1414bdc0a4
15c6e8312
hex8767220

141980192 has 48 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 66536448.

The previous prime is 141980183. The next prime is 141980197. The reversal of 141980192 is 291089141.

It is not an unprimeable number, because it can be changed into a prime (141980197) 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 7 ways as a sum of consecutive naturals, for example, 194933 + ... + 195659.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2141980192 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 141980192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

141980192 is an abundant number, since it is smaller than the sum of its proper divisors (155218528).

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

141980192 is a wasteful number, since it uses less digits than its factorization.

141980192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 141980192 is about 11915.5441336097. The cubic root of 141980192 is about 521.6860851932.

The spelling of 141980192 in words is "one hundred forty-one million, nine hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 359 544 718 727 1436 1454 2872 2908 5744 5816 6103 11488 11632 12206 12359 23264 24412 24718 48824 49436 97648 98872 195296 197744 260993 395488 521986 1043972 2087944 4175888 4436881 8351776 8873762 17747524 35495048 70990096 141980192