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12541920 = 2535172953
BaseRepresentation
bin101111110101…
…111111100000
3212121012021120
4233311333200
511202320140
61124452240
7211414236
oct57657740
925535246
1012541920
117096a26
12424a080
1327a1871
141946956
15117b1d0
hexbf5fe0

12541920 has 192 divisors, whose sum is σ = 44089920. Its totient is φ = 2981888.

The previous prime is 12541913. The next prime is 12541933. The reversal of 12541920 is 2914521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236614 + ... + 236666.

It is an arithmetic number, because the mean of its divisors is an integer number (229635).

Almost surely, 212541920 is an apocalyptic number.

12541920 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 12541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22044960).

12541920 is an abundant number, since it is smaller than the sum of its proper divisors (31548000).

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

12541920 is a wasteful number, since it uses less digits than its factorization.

12541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 12541920 is about 3541.4573271466. The cubic root of 12541920 is about 232.3385860792.

The spelling of 12541920 in words is "twelve million, five hundred forty-one thousand, nine hundred twenty".