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148620000 = 253542477
BaseRepresentation
bin10001101101111…
…00001011100000
3101100122200022110
420312330023200
5301021320000
622425235320
73453151314
oct1066741340
9340580273
10148620000
117698a451
1241932b40
1324a37a39
1415a49b44
15d0aa850
hex8dbc2e0

148620000 has 120 divisors (see below), whose sum is σ = 487700136. Its totient is φ = 39616000.

The previous prime is 148619987. The next prime is 148620007. The reversal of 148620000 is 26841.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148620007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58762 + ... + 61238.

Almost surely, 2148620000 is an apocalyptic number.

148620000 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 148620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243850068).

148620000 is an abundant number, since it is smaller than the sum of its proper divisors (339080136).

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

148620000 is an equidigital number, since it uses as much as digits as its factorization.

148620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 148620000 is about 12190.9802723161. The cubic root of 148620000 is about 529.6948522313.

Adding to 148620000 its reverse (26841), we get a palindrome (148646841).

The spelling of 148620000 in words is "one hundred forty-eight million, six hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2477 2500 3000 3750 4000 4954 5000 6000 7431 7500 9908 10000 12000 12385 14862 15000 19816 20000 24770 29724 30000 37155 39632 49540 59448 60000 61925 74310 79264 99080 118896 123850 148620 185775 198160 237792 247700 297240 309625 371550 396320 495400 594480 619250 743100 928875 990800 1188960 1238500 1486200 1548125 1857750 1981600 2477000 2972400 3096250 3715500 4644375 4954000 5944800 6192500 7431000 9288750 9908000 12385000 14862000 18577500 24770000 29724000 37155000 49540000 74310000 148620000