Search a number
-
+
149648940 = 223257219247
BaseRepresentation
bin10001110101101…
…11011000101100
3101102120221202100
420322313120230
5301302231230
622503255100
73464665200
oct1072673054
9342527670
10149648940
1177522511
124214a490
132500818c
1415c36b00
15d210660
hex8eb762c

149648940 has 324 divisors, whose sum is σ = 569159136. Its totient is φ = 31715712.

The previous prime is 149648927. The next prime is 149648963. The reversal of 149648940 is 49846941.

149648940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3183997 + ... + 3184043.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2149648940 is an apocalyptic number.

149648940 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 149648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

149648940 is an abundant number, since it is smaller than the sum of its proper divisors (419510196).

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

149648940 is a wasteful number, since it uses less digits than its factorization.

149648940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 149648940 is about 12233.1083539712. The cubic root of 149648940 is about 530.9144531130.

The spelling of 149648940 in words is "one hundred forty-nine million, six hundred forty-eight thousand, nine hundred forty".