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148122320 = 24516711087
BaseRepresentation
bin10001101010000…
…10101011010000
3101022201101121212
420311002223100
5300404403240
622410435252
73446006333
oct1065025320
9338641555
10148122320
117667a545
1241732b28
13248c2358
141595a61a
15d00d165
hex8d42ad0

148122320 has 40 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 58888832.

The previous prime is 148122319. The next prime is 148122349. The reversal of 148122320 is 23221841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 7817 + ... + 18903.

Almost surely, 2148122320 is an apocalyptic number.

148122320 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 148122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

148122320 is an abundant number, since it is smaller than the sum of its proper divisors (198355504).

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

148122320 is a wasteful number, since it uses less digits than its factorization.

148122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 148122320 is about 12170.5513433040. The cubic root of 148122320 is about 529.1029324801.

The spelling of 148122320 in words is "one hundred forty-eight million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 11087 13360 22174 44348 55435 88696 110870 177392 221740 443480 886960 1851529 3703058 7406116 9257645 14812232 18515290 29624464 37030580 74061160 148122320