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148000740 = 223537163409
BaseRepresentation
bin10001101001001…
…00111111100100
3101022111012211220
420310210333210
5300342010430
622404100340
73444662016
oct1064447744
9338435756
10148000740
11765a7168
12416946b0
132487bc04
14159281b6
15ced7110
hex8d24fe4

148000740 has 96 divisors (see below), whose sum is σ = 429260160. Its totient is φ = 38071296.

The previous prime is 148000739. The next prime is 148000771. The reversal of 148000740 is 47000841.

148000740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148000740.

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, 361656 + ... + 362064.

It is an arithmetic number, because the mean of its divisors is an integer number (4471460).

Almost surely, 2148000740 is an apocalyptic number.

148000740 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 148000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214630080).

148000740 is an abundant number, since it is smaller than the sum of its proper divisors (281259420).

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

148000740 is a wasteful number, since it uses less digits than its factorization.

148000740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 148000740 is about 12165.5554743711. Note that the first 3 decimals coincide. The cubic root of 148000740 is about 528.9581288634.

The spelling of 148000740 in words is "one hundred forty-eight million, seven hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 163 185 222 326 370 409 444 489 555 652 740 815 818 978 1110 1227 1630 1636 1956 2045 2220 2445 2454 3260 4090 4890 4908 6031 6135 8180 9780 12062 12270 15133 18093 24124 24540 30155 30266 36186 45399 60310 60532 66667 72372 75665 90465 90798 120620 133334 151330 180930 181596 200001 226995 266668 302660 333335 361860 400002 453990 666670 800004 907980 1000005 1333340 2000010 2466679 4000020 4933358 7400037 9866716 12333395 14800074 24666790 29600148 37000185 49333580 74000370 148000740