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141672960 = 29325111343
BaseRepresentation
bin10000111000111…
…00001000000000
3100212120201202200
420130130020000
5242232013320
622020313200
73340125462
oct1034341000
9325521680
10141672960
1172a74aa0
123b542800
1323474970
1414b5c132
15c687290
hex871c200

141672960 has 480 divisors, whose sum is σ = 589837248. Its totient is φ = 30965760.

The previous prime is 141672953. The next prime is 141672961. The reversal of 141672960 is 69276141.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141672961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294699 + ... + 3294741.

Almost surely, 2141672960 is an apocalyptic number.

141672960 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 141672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294918624).

141672960 is an abundant number, since it is smaller than the sum of its proper divisors (448164288).

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

141672960 is a wasteful number, since it uses less digits than its factorization.

141672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 141672960 is about 11902.6450841819. The cubic root of 141672960 is about 521.3095199704.

The spelling of 141672960 in words is "one hundred forty-one million, six hundred seventy-two thousand, nine hundred sixty".