Search a number
-
+
149471784 = 233371121943
BaseRepresentation
bin10001110100011…
…00001000101000
3101102020221202000
420322030020220
5301231044114
622455411000
73463326540
oct1072141050
9342227660
10149471784
1177411400
1242083a60
1324c75657
1415bcc320
15d1c7e09
hex8e8c228

149471784 has 384 divisors, whose sum is σ = 561792000. Its totient is φ = 35925120.

The previous prime is 149471783. The next prime is 149471813. The reversal of 149471784 is 487174941.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149471783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3476067 + ... + 3476109.

It is an arithmetic number, because the mean of its divisors is an integer number (1463000).

Almost surely, 2149471784 is an apocalyptic number.

149471784 is a gapful number since it is divisible by the number (14) 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 149471784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280896000).

149471784 is an abundant number, since it is smaller than the sum of its proper divisors (412320216).

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

149471784 is a wasteful number, since it uses less digits than its factorization.

149471784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 149471784 is about 12225.8653681447. The cubic root of 149471784 is about 530.7048696715.

The spelling of 149471784 in words is "one hundred forty-nine million, four hundred seventy-one thousand, seven hundred eighty-four".