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148085760 = 2103531311
BaseRepresentation
bin10001101001110…
…01110000000000
3101022122112110210
420310321300000
5300402221020
622405554120
73445464624
oct1064716000
9338575423
10148085760
1176655029
1241715940
13248ab814
141594b184
15d0023e0
hex8d39c00

148085760 has 176 divisors, whose sum is σ = 490493952. Its totient is φ = 38092800.

The previous prime is 148085741. The next prime is 148085761. The reversal of 148085760 is 67580841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148085761) 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, 476005 + ... + 476315.

Almost surely, 2148085760 is an apocalyptic number.

148085760 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 148085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245246976).

148085760 is an abundant number, since it is smaller than the sum of its proper divisors (342408192).

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

148085760 is a wasteful number, since it uses less digits than its factorization.

148085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 148085760 is about 12169.0492644249. The cubic root of 148085760 is about 529.0593973016.

The spelling of 148085760 in words is "one hundred forty-eight million, eighty-five thousand, seven hundred sixty".