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261623142 = 23311440443
BaseRepresentation
bin11111001100000…
…00110101100110
3200020021211111000
433212000311212
51013433420032
641543254130
76324521454
oct1746006546
9606254430
10261623142
11124752380
127374a346
1342281cc1
1426a639d4
1517e7ce7c
hexf980d66

261623142 has 32 divisors (see below), whose sum is σ = 634239360. Its totient is φ = 79279560.

The previous prime is 261623119. The next prime is 261623147. The reversal of 261623142 is 241326162.

261623142 is a `hidden beast` number, since 2 + 616 + 2 + 3 + 1 + 42 = 666.

261623142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261623147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219628 + ... + 220815.

It is an arithmetic number, because the mean of its divisors is an integer number (19819980).

Almost surely, 2261623142 is an apocalyptic number.

261623142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

261623142 is an abundant number, since it is smaller than the sum of its proper divisors (372616218).

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

261623142 is a wasteful number, since it uses less digits than its factorization.

261623142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440465 (or 440459 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 261623142 is about 16174.7686845902. The cubic root of 261623142 is about 639.5758436294.

The spelling of 261623142 in words is "two hundred sixty-one million, six hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 440443 880886 1321329 2642658 3963987 4844873 7927974 9689746 11891961 14534619 23783922 29069238 43603857 87207714 130811571 261623142