Search a number
-
+
148261104 = 243719223
BaseRepresentation
bin10001101011001…
…00100011110000
3101022222110000000
420311210203300
5300423323404
622413430000
73450125055
oct1065444360
9338873000
10148261104
1176764842
124179b300
1324940584
141599502c
15d039339
hex8d648f0

148261104 has 160 divisors (see below), whose sum is σ = 455526400. Its totient is φ = 46609344.

The previous prime is 148261103. The next prime is 148261121. The reversal of 148261104 is 401162841.

It is a happy number.

148261104 is a `hidden beast` number, since 1 + 48 + 2 + 611 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148261103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664737 + ... + 664959.

It is an arithmetic number, because the mean of its divisors is an integer number (2847040).

Almost surely, 2148261104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148261104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227763200).

148261104 is an abundant number, since it is smaller than the sum of its proper divisors (307265296).

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

148261104 is an equidigital number, since it uses as much as digits as its factorization.

148261104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148261104 is about 12176.2516399753. The cubic root of 148261104 is about 529.2681295043.

The spelling of 148261104 in words is "one hundred forty-eight million, two hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 223 228 243 304 324 342 432 446 456 486 513 648 669 684 729 892 912 972 1026 1296 1338 1368 1458 1539 1784 1944 2007 2052 2187 2676 2736 2916 3078 3568 3888 4014 4104 4237 4374 4617 5352 5832 6021 6156 8028 8208 8474 8748 9234 10704 11664 12042 12312 12711 13851 16056 16948 17496 18063 18468 24084 24624 25422 27702 32112 33896 34992 36126 36936 38133 41553 48168 50844 54189 55404 67792 72252 73872 76266 83106 96336 101688 108378 110808 114399 144504 152532 162567 166212 203376 216756 221616 228798 289008 305064 325134 332424 343197 433512 457596 487701 610128 650268 664848 686394 867024 915192 975402 1029591 1300536 1372788 1830384 1950804 2059182 2601072 2745576 3088773 3901608 4118364 5491152 6177546 7803216 8236728 9266319 12355092 16473456 18532638 24710184 37065276 49420368 74130552 148261104