Search a number
-
+
148434160 = 2457401661
BaseRepresentation
bin10001101100011…
…10110011110000
3101100022020101111
420312032303300
5300444343120
622421243104
73451445440
oct1066166360
9340266344
10148434160
1176872866
1241863494
13249a1284
14159dc120
15d07075a
hex8d8ecf0

148434160 has 80 divisors (see below), whose sum is σ = 395992512. Its totient is φ = 50688000.

The previous prime is 148434149. The next prime is 148434161. The reversal of 148434160 is 61434841.

148434160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148434161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224230 + ... + 224890.

Almost surely, 2148434160 is an apocalyptic number.

148434160 is a gapful number since it is divisible by the number (10) 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 148434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197996256).

148434160 is an abundant number, since it is smaller than the sum of its proper divisors (247558352).

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

148434160 is a wasteful number, since it uses less digits than its factorization.

148434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 148434160 is about 12183.3558595323. The cubic root of 148434160 is about 529.4739767317.

The spelling of 148434160 in words is "one hundred forty-eight million, four hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 401 560 661 802 1322 1604 2005 2644 2807 3208 3305 4010 4627 5288 5614 6416 6610 8020 9254 10576 11228 13220 14035 16040 18508 22456 23135 26440 28070 32080 37016 44912 46270 52880 56140 74032 92540 112280 185080 224560 265061 370160 530122 1060244 1325305 1855427 2120488 2650610 3710854 4240976 5301220 7421708 9277135 10602440 14843416 18554270 21204880 29686832 37108540 74217080 148434160