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148110560 = 25513312297
BaseRepresentation
bin10001101001111…
…11110011100000
3101022200210111022
420310333303200
5300404014220
622410305012
73445630133
oct1064776340
9338623438
10148110560
1176671724
1241728168
13248b9bb0
141595621a
15d009925
hex8d3fce0

148110560 has 96 divisors (see below), whose sum is σ = 389152512. Its totient is φ = 52899840.

The previous prime is 148110551. The next prime is 148110587. The reversal of 148110560 is 65011841.

148110560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63332 + ... + 65628.

It is an arithmetic number, because the mean of its divisors is an integer number (4053672).

Almost surely, 2148110560 is an apocalyptic number.

148110560 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 148110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194576256).

148110560 is an abundant number, since it is smaller than the sum of its proper divisors (241041952).

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

148110560 is a wasteful number, since it uses less digits than its factorization.

148110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 148110560 is about 12170.0682003019. The cubic root of 148110560 is about 529.0889296047.

The spelling of 148110560 in words is "one hundred forty-eight million, one hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2297 2480 3224 4030 4594 4960 6448 8060 9188 11485 12896 16120 18376 22970 29861 32240 36752 45940 59722 64480 71207 73504 91880 119444 142414 149305 183760 238888 284828 298610 356035 367520 477776 569656 597220 712070 925691 955552 1139312 1194440 1424140 1851382 2278624 2388880 2848280 3702764 4628455 4777760 5696560 7405528 9256910 11393120 14811056 18513820 29622112 37027640 74055280 148110560