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260691552 = 253211196171
BaseRepresentation
bin11111000100111…
…01011001100000
3200011112111120200
433202131121200
51013214112202
641511305200
76313561452
oct1742353140
9604474520
10260691552
11124176470
127337b200
1342016c74
14268a02d2
1517d46e1c
hexf89d660

260691552 has 288 divisors, whose sum is σ = 877443840. Its totient is φ = 72576000.

The previous prime is 260691551. The next prime is 260691553. The reversal of 260691552 is 255196062.

260691552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260691551) and next prime (260691553).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260691551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3671677 + ... + 3671747.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2260691552 is an apocalyptic number.

260691552 is a gapful number since it is divisible by the number (22) 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 260691552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

260691552 is an abundant number, since it is smaller than the sum of its proper divisors (616752288).

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

260691552 is a wasteful number, since it uses less digits than its factorization.

260691552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 260691552 is about 16145.9453733747. The cubic root of 260691552 is about 638.8158050216.

The spelling of 260691552 in words is "two hundred sixty million, six hundred ninety-one thousand, five hundred fifty-two".