Search a number
-
+
148743504 = 243271311351
BaseRepresentation
bin10001101110110…
…10010101010000
3101100212221201200
420313122111100
5301034243004
622432031200
73454204350
oct1067322520
9340787650
10148743504
1176a64218
1241992500
1324a7c010
1415a7cb60
15d0d2239
hex8dda550

148743504 has 120 divisors (see below), whose sum is σ = 512383872. Its totient is φ = 39225600.

The previous prime is 148743481. The next prime is 148743521. The reversal of 148743504 is 405347841.

148743504 is a `hidden beast` number, since 148 + 7 + 4 + 3 + 504 = 666.

148743504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7429 + ... + 18779.

Almost surely, 2148743504 is an apocalyptic number.

148743504 is a gapful number since it is divisible by the number (14) 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 148743504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256191936).

148743504 is an abundant number, since it is smaller than the sum of its proper divisors (363640368).

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

148743504 is a wasteful number, since it uses less digits than its factorization.

148743504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 148743504 is about 12196.0446047069. The cubic root of 148743504 is about 529.8415380073.

The spelling of 148743504 in words is "one hundred forty-eight million, seven hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 11351 13104 22702 34053 45404 68106 79457 90808 102159 136212 147563 158914 181616 204318 238371 272424 295126 317828 408636 442689 476742 544848 590252 635656 715113 817272 885378 953484 1032941 1180504 1271312 1328067 1430226 1634544 1770756 1906968 2065882 2361008 2656134 2860452 3098823 3541512 3813936 4131764 5312268 5720904 6197646 7083024 8263528 9296469 10624536 11441808 12395292 16527056 18592938 21249072 24790584 37185876 49581168 74371752 148743504