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141307008 = 2731512437
BaseRepresentation
bin10000110110000…
…10110010000000
3100211220010202220
420123002302000
5242133311013
622004411040
73334042533
oct1033026200
9324803686
10141307008
1172845057
123b3a6a80
132337721b
1414aa4a1a
15c613b23
hex86c2c80

141307008 has 64 divisors (see below), whose sum is σ = 377987520. Its totient is φ = 46771200.

The previous prime is 141307003. The next prime is 141307013. The reversal of 141307008 is 800703141.

It is an interprime number because it is at equal distance from previous prime (141307003) and next prime (141307013).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141307003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56766 + ... + 59202.

It is an arithmetic number, because the mean of its divisors is an integer number (5906055).

Almost surely, 2141307008 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 141307008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188993760).

141307008 is an abundant number, since it is smaller than the sum of its proper divisors (236680512).

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

141307008 is a wasteful number, since it uses less digits than its factorization.

141307008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 141307008 is about 11887.2624266481. The cubic root of 141307008 is about 520.8602722592.

The spelling of 141307008 in words is "one hundred forty-one million, three hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 2437 3624 4832 4874 7248 7311 9664 9748 14496 14622 19328 19496 28992 29244 38992 57984 58488 77984 116976 155968 233952 311936 367987 467904 735974 935808 1103961 1471948 2207922 2943896 4415844 5887792 8831688 11775584 17663376 23551168 35326752 47102336 70653504 141307008