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148317120 = 26325721051
BaseRepresentation
bin10001101011100…
…10001111000000
3101100002021211200
420311302033000
5300432121440
622414541200
73450450300
oct1065621700
9340067750
10148317120
11767a2936
1241807800
132495cc13
14159ab600
15d04ac30
hex8d723c0

148317120 has 252 divisors, whose sum is σ = 594003384. Its totient is φ = 33868800.

The previous prime is 148317119. The next prime is 148317137. The reversal of 148317120 is 21713841.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140595 + ... + 141645.

Almost surely, 2148317120 is an apocalyptic number.

148317120 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 148317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297001692).

148317120 is an abundant number, since it is smaller than the sum of its proper divisors (445686264).

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

148317120 is a wasteful number, since it uses less digits than its factorization.

148317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 148317120 is about 12178.5516380233. The cubic root of 148317120 is about 529.3347771274.

The spelling of 148317120 in words is "one hundred forty-eight million, three hundred seventeen thousand, one hundred twenty".