Search a number
-
+
149140926 = 23411127659
BaseRepresentation
bin10001110001110…
…11010110111110
3101101122010220000
420320323112332
5301140002201
622444335130
73460451124
oct1070732676
9341563800
10149140926
1177205870
1241b444a6
1324b8ab8c
1415b43914
15d15ed86
hex8e3b5be

149140926 has 80 divisors (see below), whose sum is σ = 367994880. Its totient is φ = 44770320.

The previous prime is 149140921. The next prime is 149140931. The reversal of 149140926 is 629041941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149140921) and next prime (149140931).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149140921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225985 + ... + 226643.

It is an arithmetic number, because the mean of its divisors is an integer number (4599936).

Almost surely, 2149140926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149140926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183997440).

149140926 is an abundant number, since it is smaller than the sum of its proper divisors (218853954).

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

149140926 is a wasteful number, since it uses less digits than its factorization.

149140926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149140926 is about 12212.3268053226. The cubic root of 149140926 is about 530.3130060432.

The spelling of 149140926 in words is "one hundred forty-nine million, one hundred forty thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 127 162 198 254 297 381 594 659 762 891 1143 1318 1397 1782 1977 2286 2794 3429 3954 4191 5931 6858 7249 8382 10287 11862 12573 14498 17793 20574 21747 25146 35586 37719 43494 53379 65241 75438 83693 106758 113157 130482 167386 195723 226314 251079 391446 502158 587169 753237 920623 1174338 1506474 1841246 2259711 2761869 4519422 5523738 6779133 8285607 13558266 16571214 24856821 49713642 74570463 149140926