Search a number
-
+
148263920 = 2457264757
BaseRepresentation
bin10001101011001…
…01001111110000
3101022222120212022
420311211033300
5300423421140
622413451012
73450136220
oct1065451760
9338876768
10148263920
1176766972
12417a0a68
132494193c
1415996080
15d03a0b5
hex8d653f0

148263920 has 40 divisors (see below), whose sum is σ = 393959904. Its totient is φ = 50833152.

The previous prime is 148263901. The next prime is 148263937. The reversal of 148263920 is 29362841.

148263920 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131819 + ... + 132938.

Almost surely, 2148263920 is an apocalyptic number.

148263920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148263920 is an abundant number, since it is smaller than the sum of its proper divisors (245695984).

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

148263920 is a wasteful number, since it uses less digits than its factorization.

148263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264777 (or 264771 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 148263920 is about 12176.3672743557. The cubic root of 148263920 is about 529.2714803711.

The spelling of 148263920 in words is "one hundred forty-eight million, two hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 264757 529514 1059028 1323785 1853299 2118056 2647570 3706598 4236112 5295140 7413196 9266495 10590280 14826392 18532990 21180560 29652784 37065980 74131960 148263920