Search a number
-
+
148431920 = 24571320389
BaseRepresentation
bin10001101100011…
…10010000110000
3101100022010022112
420312032100300
5300444310140
622421224452
73451436060
oct1066162060
9340263275
10148431920
117687110a
1241862128
13249a0250
14159db3a0
15d06ec65
hex8d8e430

148431920 has 80 divisors (see below), whose sum is σ = 424764480. Its totient is φ = 46973952.

The previous prime is 148431919. The next prime is 148431973. The reversal of 148431920 is 29134841.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2915 + ... + 17474.

It is an arithmetic number, because the mean of its divisors is an integer number (5309556).

Almost surely, 2148431920 is an apocalyptic number.

148431920 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 148431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212382240).

148431920 is an abundant number, since it is smaller than the sum of its proper divisors (276332560).

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

148431920 is a wasteful number, since it uses less digits than its factorization.

148431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20422 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 148431920 is about 12183.2639304909. The cubic root of 148431920 is about 529.4713133114.

The spelling of 148431920 in words is "one hundred forty-eight million, four hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 20389 40778 81556 101945 142723 163112 203890 265057 285446 326224 407780 530114 570892 713615 815560 1060228 1141784 1325285 1427230 1631120 1855399 2120456 2283568 2650570 2854460 3710798 4240912 5301140 5708920 7421596 9276995 10602280 11417840 14843192 18553990 21204560 29686384 37107980 74215960 148431920