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148922880 = 293519391
BaseRepresentation
bin10001110000001…
…10001000000000
3101101020001210020
420320012020000
5301111013010
622435533440
73455552331
oct1070061000
9341201706
10148922880
1177076a67
1241a5a280
1324b12862
1415ac8288
15d11a470
hex8e06200

148922880 has 80 divisors (see below), whose sum is σ = 476112384. Its totient is φ = 39710720.

The previous prime is 148922869. The next prime is 148922881. The reversal of 148922880 is 88229841.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (148922881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016 + ... + 17375.

Almost surely, 2148922880 is an apocalyptic number.

148922880 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 148922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238056192).

148922880 is an abundant number, since it is smaller than the sum of its proper divisors (327189504).

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

148922880 is an equidigital number, since it uses as much as digits as its factorization.

148922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19417 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 148922880 is about 12203.3962485859. The cubic root of 148922880 is about 530.0544384571.

The spelling of 148922880 in words is "one hundred forty-eight million, nine hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 19391 38782 58173 77564 96955 116346 155128 193910 232692 290865 310256 387820 465384 581730 620512 775640 930768 1163460 1241024 1551280 1861536 2326920 2482048 3102560 3723072 4653840 4964096 6205120 7446144 9307680 9928192 12410240 14892288 18615360 24820480 29784576 37230720 49640960 74461440 148922880