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141245696 = 281971409
BaseRepresentation
bin10000110101100…
…11110100000000
3100211210000200002
420122303310000
5242124330241
622003215132
73333366014
oct1032636400
9324700602
10141245696
1172802a89
123b3774a8
1323355347
1414a8a544
15c60089b
hex86b3d00

141245696 has 72 divisors (see below), whose sum is σ = 301694400. Its totient is φ = 65802240.

The previous prime is 141245693. The next prime is 141245723. The reversal of 141245696 is 696542141.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141245693) 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, 345140 + ... + 345548.

It is an arithmetic number, because the mean of its divisors is an integer number (4190200).

Almost surely, 2141245696 is an apocalyptic number.

141245696 is a gapful number since it is divisible by the number (16) 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 141245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847200).

141245696 is an abundant number, since it is smaller than the sum of its proper divisors (160448704).

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

141245696 is an equidigital number, since it uses as much as digits as its factorization.

141245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 141245696 is about 11884.6832519845. The cubic root of 141245696 is about 520.7849289686.

The spelling of 141245696 in words is "one hundred forty-one million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 409 568 608 818 1136 1216 1349 1636 2272 2432 2698 3272 4544 4864 5396 6544 7771 9088 10792 13088 15542 18176 21584 26176 29039 31084 43168 52352 58078 62168 86336 104704 116156 124336 172672 232312 248672 345344 464624 497344 551741 929248 994688 1103482 1858496 1989376 2206964 3716992 4413928 7433984 8827856 17655712 35311424 70622848 141245696