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65148000 = 253536189
BaseRepresentation
bin1111100010000…
…1010001100000
311112120212020220
43320201101200
5113134214000
610244203040
71420514601
oct370412140
9145525226
1065148000
1133857725
1219999480
1310660218
14891bda8
155abd1a0
hex3e21460

65148000 has 192 divisors, whose sum is σ = 219360960. Its totient is φ = 16896000.

The previous prime is 65147989. The next prime is 65148043. The reversal of 65148000 is 84156.

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, 731956 + ... + 732044.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 265148000 is an apocalyptic number.

65148000 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 65148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

65148000 is an abundant number, since it is smaller than the sum of its proper divisors (154212960).

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

65148000 is a wasteful number, since it uses less digits than its factorization.

65148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 65148000 is about 8071.4310998732. The cubic root of 65148000 is about 402.3775073162.

The spelling of 65148000 in words is "sixty-five million, one hundred forty-eight thousand".