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148184064 = 2103272297
BaseRepresentation
bin10001101010100…
…01110000000000
3101022211112022200
420311101300000
5300413342224
622412033200
73446354340
oct1065216000
9338745280
10148184064
1176711976
1241762800
13249144a2
1415974d20
15d0215c9
hex8d51c00

148184064 has 132 divisors (see below), whose sum is σ = 489216624. Its totient is φ = 42319872.

The previous prime is 148184051. The next prime is 148184081. The reversal of 148184064 is 460481841.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63364 + ... + 65660.

Almost surely, 2148184064 is an apocalyptic number.

148184064 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 148184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244608312).

148184064 is an abundant number, since it is smaller than the sum of its proper divisors (341032560).

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

148184064 is a wasteful number, since it uses less digits than its factorization.

148184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148184064 is about 12173.0876937612. The cubic root of 148184064 is about 529.1764401802.

The spelling of 148184064 in words is "one hundred forty-eight million, one hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2297 2304 2688 3072 3584 4032 4594 4608 5376 6891 7168 8064 9188 9216 10752 13782 16079 16128 18376 20673 21504 27564 32158 32256 36752 41346 48237 55128 64316 64512 73504 82692 96474 110256 128632 144711 147008 165384 192948 220512 257264 289422 294016 330768 385896 441024 514528 578844 588032 661536 771792 882048 1029056 1157688 1176064 1323072 1543584 1764096 2058112 2315376 2352128 2646144 3087168 3528192 4116224 4630752 5292288 6174336 7056384 8232448 9261504 10584576 12348672 16464896 18523008 21169152 24697344 37046016 49394688 74092032 148184064