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148920 = 23351773
BaseRepresentation
bin100100010110111000
321120021120
4210112320
514231140
63105240
71160112
oct442670
9246246
10148920
11a1982
1272220
1352a25
143c3b2
152e1d0
hex245b8

148920 has 64 divisors (see below), whose sum is σ = 479520. Its totient is φ = 36864.

The previous prime is 148913. The next prime is 148921. The reversal of 148920 is 29841.

148920 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148920.

It is not an unprimeable number, because it can be changed into a prime (148921) 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, 2004 + ... + 2076.

2148920 is an apocalyptic number.

148920 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 148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239760).

148920 is an abundant number, since it is smaller than the sum of its proper divisors (330600).

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

148920 is a wasteful number, since it uses less digits than its factorization.

148920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 148920 is about 385.9015418471. The cubic root of 148920 is about 53.0051021551.

The spelling of 148920 in words is "one hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 170 204 219 255 292 340 365 408 438 510 584 680 730 876 1020 1095 1241 1460 1752 2040 2190 2482 2920 3723 4380 4964 6205 7446 8760 9928 12410 14892 18615 24820 29784 37230 49640 74460 148920