Search a number
-
+
148210272 = 2532773517
BaseRepresentation
bin10001101010110…
…00001001100000
3101022212212021100
420311120021200
5300420212042
622412354400
73446523630
oct1065301140
9338785240
10148210272
117672a631
1241775a00
13249233b2
14159806c0
15d02924c
hex8d58260

148210272 has 72 divisors (see below), whose sum is σ = 481689936. Its totient is φ = 42345216.

The previous prime is 148210261. The next prime is 148210273. The reversal of 148210272 is 272012841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148210273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34743 + ... + 38774.

It is an arithmetic number, because the mean of its divisors is an integer number (6690138).

Almost surely, 2148210272 is an apocalyptic number.

148210272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148210272 is an abundant number, since it is smaller than the sum of its proper divisors (333479664).

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

148210272 is a wasteful number, since it uses less digits than its factorization.

148210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73540 (or 73529 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 148210272 is about 12174.1641191500. The cubic root of 148210272 is about 529.2076352544.

The spelling of 148210272 in words is "one hundred forty-eight million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 73517 147034 220551 294068 441102 514619 588136 661653 882204 1029238 1176272 1323306 1543857 1764408 2058476 2352544 2646612 3087714 3528816 4116952 4631571 5293224 6175428 7057632 8233904 9263142 10586448 12350856 16467808 18526284 21172896 24701712 37052568 49403424 74105136 148210272