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148048120 = 23511477159
BaseRepresentation
bin10001101001100…
…00100011111000
3101022120121211201
420310300203320
5300400014440
622405103544
73445250113
oct1064604370
9338517751
10148048120
1176629820
12416b7bb4
132489764c
141593b57a
15cee619a
hex8d308f8

148048120 has 64 divisors (see below), whose sum is σ = 371174400. Its totient is φ = 52682880.

The previous prime is 148048099. The next prime is 148048127. The reversal of 148048120 is 21840841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148048127) 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, 17101 + ... + 24259.

It is an arithmetic number, because the mean of its divisors is an integer number (5799600).

Almost surely, 2148048120 is an apocalyptic number.

148048120 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 148048120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185587200).

148048120 is an abundant number, since it is smaller than the sum of its proper divisors (223126280).

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

148048120 is a wasteful number, since it uses less digits than its factorization.

148048120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 148048120 is about 12167.5026196833. The cubic root of 148048120 is about 529.0145685862.

Adding to 148048120 its reverse (21840841), we get a palindrome (169888961).

The spelling of 148048120 in words is "one hundred forty-eight million, forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 7159 10340 14318 20680 28636 35795 57272 71590 78749 143180 157498 286360 314996 336473 393745 629992 672946 787490 1345892 1574980 1682365 2691784 3149960 3364730 3701203 6729460 7402406 13458920 14804812 18506015 29609624 37012030 74024060 148048120