Search a number
-
+
148471680 = 2735711047
BaseRepresentation
bin10001101100101…
…11111110000000
3101100101010212010
420312113332000
5301002043210
622422132520
73451663020
oct1066277600
9340333763
10148471680
1176898a75
1241881140
13249b5386
1415a0ba80
15d07b920
hex8d97f80

148471680 has 128 divisors (see below), whose sum is σ = 540910080. Its totient is φ = 33933312.

The previous prime is 148471651. The next prime is 148471691. The reversal of 148471680 is 86174841.

148471680 is digitally balanced in base 2, 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7917 + ... + 18963.

It is an arithmetic number, because the mean of its divisors is an integer number (4225860).

Almost surely, 2148471680 is an apocalyptic number.

148471680 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 148471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270455040).

148471680 is an abundant number, since it is smaller than the sum of its proper divisors (392438400).

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

148471680 is a wasteful number, since it uses less digits than its factorization.

148471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 148471680 is about 12184.8955678742. The cubic root of 148471680 is about 529.5185850393.

The spelling of 148471680 in words is "one hundred forty-eight million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 11047 13440 22094 33141 44188 55235 66282 77329 88376 110470 132564 154658 165705 176752 220940 231987 265128 309316 331410 353504 386645 441880 463974 530256 618632 662820 707008 773290 883760 927948 1060512 1159935 1237264 1325640 1414016 1546580 1767520 1855896 2121024 2319870 2474528 2651280 3093160 3535040 3711792 4242048 4639740 4949056 5302560 6186320 7070080 7423584 9279480 9898112 10605120 12372640 14847168 18558960 21210240 24745280 29694336 37117920 49490560 74235840 148471680