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148214016 = 283341523
BaseRepresentation
bin10001101010110…
…01000100000000
3101022220001102000
420311121010000
5300420322031
622412424000
73446540556
oct1065310400
9338801360
10148214016
1176732425
1241778000
1324925002
1415981bd6
15d02a3e6
hex8d59100

148214016 has 144 divisors (see below), whose sum is σ = 449843520. Its totient is φ = 48107520.

The previous prime is 148213999. The next prime is 148214021. The reversal of 148214016 is 610412841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 283131 + ... + 283653.

Almost surely, 2148214016 is an apocalyptic number.

148214016 is a gapful number since it is divisible by the number (16) 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 148214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224921760).

148214016 is an abundant number, since it is smaller than the sum of its proper divisors (301629504).

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

148214016 is an equidigital number, since it uses as much as digits as its factorization.

148214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

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

The square root of 148214016 is about 12174.3178864362. The cubic root of 148214016 is about 529.2120913934.

Adding to 148214016 its reverse (610412841), we get a palindrome (758626857).

The spelling of 148214016 in words is "one hundred forty-eight million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 523 576 656 738 768 864 984 1046 1107 1152 1312 1476 1569 1728 1968 2092 2214 2304 2624 2952 3138 3456 3936 4184 4428 4707 5248 5904 6276 6912 7872 8368 8856 9414 10496 11808 12552 14121 15744 16736 17712 18828 21443 23616 25104 28242 31488 33472 35424 37656 42886 47232 50208 56484 64329 66944 70848 75312 85772 94464 100416 112968 128658 133888 141696 150624 171544 192987 200832 225936 257316 283392 301248 343088 385974 401664 451872 514632 578961 602496 686176 771948 903744 1029264 1157922 1204992 1372352 1543896 1807488 2058528 2315844 2744704 3087792 3614976 4117056 4631688 5489408 6175584 8234112 9263376 12351168 16468224 18526752 24702336 37053504 49404672 74107008 148214016