Search a number
-
+
148965696 = 26331117461
BaseRepresentation
bin10001110000100…
…00100101000000
3101101022020112000
420320100211000
5301113400241
622440504000
73456121215
oct1070204500
9341266460
10148965696
11770a6150
1241a7b000
1324b291a9
1415ad9b0c
15d127eb6
hex8e10940

148965696 has 224 divisors, whose sum is σ = 506943360. Its totient is φ = 42393600.

The previous prime is 148965689. The next prime is 148965697. The reversal of 148965696 is 696569841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148965697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322906 + ... + 323366.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 2148965696 is an apocalyptic number.

148965696 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 148965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

148965696 is an abundant number, since it is smaller than the sum of its proper divisors (357977664).

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

148965696 is a wasteful number, since it uses less digits than its factorization.

148965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 148965696 is about 12205.1503882582. The cubic root of 148965696 is about 530.1052312707.

The spelling of 148965696 in words is "one hundred forty-eight million, nine hundred sixty-five thousand, six hundred ninety-six".