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141052500 = 2232546269
BaseRepresentation
bin10000110100001…
…00101001010100
3100211102012122200
420122010221110
5242102140000
621555124500
73331632531
oct1032045124
9324365580
10141052500
1172690916
123b2a3730
13232b8424
1414a39d88
15c5b3500
hex8684a54

141052500 has 90 divisors (see below), whose sum is σ = 445615170. Its totient is φ = 37608000.

The previous prime is 141052493. The next prime is 141052507. The reversal of 141052500 is 5250141.

141052500 is a `hidden beast` number, since 1 + 410 + 5 + 250 + 0 = 666.

141052500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141052493) and next prime (141052507).

It can be written as a sum of positive squares in 5 ways, for example, as 68359824 + 72692676 = 8268^2 + 8526^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141052507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19366 + ... + 25634.

Almost surely, 2141052500 is an apocalyptic number.

141052500 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 141052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222807585).

141052500 is an abundant number, since it is smaller than the sum of its proper divisors (304562670).

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

141052500 is a wasteful number, since it uses less digits than its factorization.

141052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 141052500 is about 11876.5525300905. The cubic root of 141052500 is about 520.5473772509.

The spelling of 141052500 in words is "one hundred forty-one million, fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 6269 7500 11250 12538 18807 22500 25076 31345 37614 56421 62690 75228 94035 112842 125380 156725 188070 225684 282105 313450 376140 470175 564210 626900 783625 940350 1128420 1410525 1567250 1880700 2350875 2821050 3134500 3918125 4701750 5642100 7052625 7836250 9403500 11754375 14105250 15672500 23508750 28210500 35263125 47017500 70526250 141052500