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149177106 = 23313417173
BaseRepresentation
bin10001110010001…
…00001100010010
3101101200222112000
420321010030102
5301142131411
622445214430
73460661451
oct1071041422
9341628460
10149177106
117722aa71
1241b61416
1324ba14a0
1415b52b98
15d16a956
hex8e44312

149177106 has 128 divisors (see below), whose sum is σ = 375943680. Its totient is φ = 43545600.

The previous prime is 149177071. The next prime is 149177129. The reversal of 149177106 is 601771941.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2043486 + ... + 2043558.

It is an arithmetic number, because the mean of its divisors is an integer number (2937060).

Almost surely, 2149177106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149177106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

149177106 is an abundant number, since it is smaller than the sum of its proper divisors (226766574).

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

149177106 is a wasteful number, since it uses less digits than its factorization.

149177106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 149177106 is about 12213.8080056958. The cubic root of 149177106 is about 530.3558853382.

The spelling of 149177106 in words is "one hundred forty-nine million, one hundred seventy-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 71 73 78 82 117 123 142 146 213 219 234 246 351 369 426 438 533 639 657 702 738 923 949 1066 1107 1278 1314 1599 1846 1898 1917 1971 2214 2769 2847 2911 2993 3198 3834 3942 4797 5183 5538 5694 5822 5986 8307 8541 8733 8979 9594 10366 14391 15549 16614 17082 17466 17958 24921 25623 26199 26937 28782 31098 37843 38909 46647 49842 51246 52398 53874 67379 75686 77818 78597 80811 93294 113529 116727 134758 139941 157194 161622 202137 212503 227058 233454 279882 340587 350181 404274 425006 606411 637509 681174 700362 1021761 1050543 1212822 1275018 1819233 1912527 2043522 2101086 2762539 3638466 3825054 5525078 5737581 8287617 11475162 16575234 24862851 49725702 74588553 149177106