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148144410 = 23353731471
BaseRepresentation
bin10001101010010…
…00000100011010
3101022202111221000
420311020010122
5300411110120
622411125430
73446130621
oct1065100432
9338674830
10148144410
11766950a7
1241743876
13248cc41b
14159646b8
15d014990
hex8d4811a

148144410 has 64 divisors (see below), whose sum is σ = 396380160. Its totient is φ = 39372480.

The previous prime is 148144397. The next prime is 148144421. The reversal of 148144410 is 14441841.

148144410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99975 + ... + 101445.

It is an arithmetic number, because the mean of its divisors is an integer number (6193440).

Almost surely, 2148144410 is an apocalyptic number.

148144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148144410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198190080).

148144410 is an abundant number, since it is smaller than the sum of its proper divisors (248235750).

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

148144410 is a wasteful number, since it uses less digits than its factorization.

148144410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 148144410 is about 12171.4588279302. The cubic root of 148144410 is about 529.1292334967.

The spelling of 148144410 in words is "one hundred forty-eight million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 373 746 1119 1471 1865 2238 2942 3357 3730 4413 5595 6714 7355 8826 10071 11190 13239 14710 16785 20142 22065 26478 33570 39717 44130 50355 66195 79434 100710 132390 198585 397170 548683 1097366 1646049 2743415 3292098 4938147 5486830 8230245 9876294 14814441 16460490 24690735 29628882 49381470 74072205 148144410