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61266240 = 2633571013
BaseRepresentation
bin1110100110110…
…1100101000000
311021021122111000
43221231211000
5111141004430
610025052000
71342516530
oct351554500
9137248430
1061266240
1131646262
1218627000
13c901419
1481cb4c0
1555a2e60
hex3a6d940

61266240 has 224 divisors, whose sum is σ = 247253760. Its totient is φ = 13989888.

The previous prime is 61266221. The next prime is 61266253. The reversal of 61266240 is 4266216.

It is a happy number.

61266240 is a `hidden beast` number, since 612 + 6 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 59974 + ... + 60986.

Almost surely, 261266240 is an apocalyptic number.

61266240 is a gapful number since it is divisible by the number (60) 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 61266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123626880).

61266240 is an abundant number, since it is smaller than the sum of its proper divisors (185987520).

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

61266240 is a wasteful number, since it uses less digits than its factorization.

61266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

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

The square root of 61266240 is about 7827.2753880262. The cubic root of 61266240 is about 394.2215936777.

The spelling of 61266240 in words is "sixty-one million, two hundred sixty-six thousand, two hundred forty".