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23142096 = 2432160709
BaseRepresentation
bin101100001000…
…1111011010000
31121112201222200
41120101323100
521411021341
62144003200
7400463445
oct130217320
947481880
1023142096
1112076aaa
127900500
134a43663
1431059cc
152071db6
hex1611ed0

23142096 has 30 divisors (see below), whose sum is σ = 64766130. Its totient is φ = 7713984.

The previous prime is 23142017. The next prime is 23142107. The reversal of 23142096 is 69024132.

23142096 is a `hidden beast` number, since 231 + 420 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17943696 + 5198400 = 4236^2 + 2280^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 80211 + ... + 80498.

It is an arithmetic number, because the mean of its divisors is an integer number (2158871).

Almost surely, 223142096 is an apocalyptic number.

It is an amenable number.

23142096 is an abundant number, since it is smaller than the sum of its proper divisors (41624034).

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

23142096 is a wasteful number, since it uses less digits than its factorization.

23142096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160723 (or 160714 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23142096 is about 4810.6232444456. The cubic root of 23142096 is about 284.9711512812.

The spelling of 23142096 in words is "twenty-three million, one hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 160709 321418 482127 642836 964254 1285672 1446381 1928508 2571344 2892762 3857016 5785524 7714032 11571048 23142096