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148397760 = 26325717433
BaseRepresentation
bin10001101100001…
…01111011000000
3101100020101110100
420312011323000
5300442212020
622420402400
73451234350
oct1066057300
9340211410
10148397760
1176848485
1241846400
132498a834
14159ccb60
15d064a90
hex8d85ec0

148397760 has 336 divisors, whose sum is σ = 619085376. Its totient is φ = 31850496.

The previous prime is 148397749. The next prime is 148397789. The reversal of 148397760 is 67793841.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342504 + ... + 342936.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2148397760 is an apocalyptic number.

148397760 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 148397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

148397760 is an abundant number, since it is smaller than the sum of its proper divisors (470687616).

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

148397760 is a wasteful number, since it uses less digits than its factorization.

148397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 148397760 is about 12181.8619266514. The cubic root of 148397760 is about 529.4306928309.

The spelling of 148397760 in words is "one hundred forty-eight million, three hundred ninety-seven thousand, seven hundred sixty".