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141895680 = 2113531149
BaseRepresentation
bin10000111010100…
…10100000000000
3100220000001021120
420131102200000
5242311130210
622025152240
73342044013
oct1035224000
9326001246
10141895680
1173107363
123b62b680
1323522154
1414bb937a
15c6cd270
hex8752800

141895680 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 36372480.

The previous prime is 141895669. The next prime is 141895687. The reversal of 141895680 is 86598141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141895687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952246 + ... + 952394.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2141895680 is an apocalyptic number.

141895680 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 141895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

141895680 is an abundant number, since it is smaller than the sum of its proper divisors (329848320).

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

141895680 is a wasteful number, since it uses less digits than its factorization.

141895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 141895680 is about 11911.9973136330. The cubic root of 141895680 is about 521.5825555284.

The spelling of 141895680 in words is "one hundred forty-one million, eight hundred ninety-five thousand, six hundred eighty".