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148030560 = 25325176047
BaseRepresentation
bin10001101001011…
…00010001100000
3101022112201202100
420310230101200
5300343434220
622404450400
73445144656
oct1064542140
9338481670
10148030560
1176617607
12416a9a00
132488c662
1415934dd6
15cee0d90
hex8d2c460

148030560 has 144 divisors (see below), whose sum is σ = 534957696. Its totient is φ = 37146624.

The previous prime is 148030523. The next prime is 148030567. The reversal of 148030560 is 65030841.

148030560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148030567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21457 + ... + 27503.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2148030560 is an apocalyptic number.

148030560 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 148030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267478848).

148030560 is an abundant number, since it is smaller than the sum of its proper divisors (386927136).

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

148030560 is a wasteful number, since it uses less digits than its factorization.

148030560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 148030560 is about 12166.7810040290. The cubic root of 148030560 is about 528.9936522717.

The spelling of 148030560 in words is "one hundred forty-eight million, thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6047 6120 8160 12094 12240 18141 24188 24480 30235 36282 48376 54423 60470 72564 90705 96752 102799 108846 120940 145128 181410 193504 205598 217692 241880 272115 290256 308397 362820 411196 435384 483760 513995 544230 580512 616794 725640 822392 870768 925191 967520 1027990 1088460 1233588 1451280 1541985 1644784 1741536 1850382 2055980 2176920 2467176 2902560 3083970 3289568 3700764 4111960 4353840 4625955 4934352 6167940 7401528 8223920 8707680 9251910 9868704 12335880 14803056 16447840 18503820 24671760 29606112 37007640 49343520 74015280 148030560