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148234880 = 275613797
BaseRepresentation
bin10001101010111…
…10001010000000
3101022221010000202
420311132022000
5300422004010
622413104332
73446655443
oct1065361200
9338833022
10148234880
1176747072
12417880a8
1324931661
141598965a
15d0316a5
hex8d5e280

148234880 has 64 divisors (see below), whose sum is σ = 360278280. Its totient is φ = 58306560.

The previous prime is 148234873. The next prime is 148234897. The reversal of 148234880 is 88432841.

It can be written as a sum of positive squares in 4 ways, for example, as 30382144 + 117852736 = 5512^2 + 10856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1482348802 = 43947159297228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37142 + ... + 40938.

Almost surely, 2148234880 is an apocalyptic number.

148234880 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 148234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180139140).

148234880 is an abundant number, since it is smaller than the sum of its proper divisors (212043400).

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

148234880 is an equidigital number, since it uses as much as digits as its factorization.

148234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 148234880 is about 12175.1747420725. The cubic root of 148234880 is about 529.2369225200.

The spelling of 148234880 in words is "one hundred forty-eight million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3797 3904 4880 7594 7808 9760 15188 18985 19520 30376 37970 39040 60752 75940 121504 151880 231617 243008 303760 463234 486016 607520 926468 1158085 1215040 1852936 2316170 2430080 3705872 4632340 7411744 9264680 14823488 18529360 29646976 37058720 74117440 148234880