Search a number
-
+
149341140 = 2232513193359
BaseRepresentation
bin10001110011011…
…00001111010100
3101102000022112100
420321230033110
5301212404030
622452522100
73462243624
oct1071541724
9342008470
10149341140
1177332233
1242020330
1324c2b050
1415b96884
15d19e360
hex8e6c3d4

149341140 has 144 divisors (see below), whose sum is σ = 513676800. Its totient is φ = 34815744.

The previous prime is 149341133. The next prime is 149341151. The reversal of 149341140 is 41143941.

149341140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42781 + ... + 46139.

It is an arithmetic number, because the mean of its divisors is an integer number (3567200).

Almost surely, 2149341140 is an apocalyptic number.

149341140 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 149341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

149341140 is an abundant number, since it is smaller than the sum of its proper divisors (364335660).

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

149341140 is a wasteful number, since it uses less digits than its factorization.

149341140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 149341140 is about 12220.5212654780. The cubic root of 149341140 is about 530.5502058838.

The spelling of 149341140 in words is "one hundred forty-nine million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3359 3420 3705 4446 4940 6718 7410 8892 10077 11115 13436 14820 16795 20154 22230 30231 33590 40308 43667 44460 50385 60462 63821 67180 87334 100770 120924 127642 131001 151155 174668 191463 201540 218335 255284 262002 302310 319105 382926 393003 436670 524004 574389 604620 638210 655005 765852 786006 829673 873340 957315 1148778 1276420 1310010 1572012 1659346 1914630 1965015 2297556 2489019 2620020 2871945 3318692 3829260 3930030 4148365 4978038 5743890 7467057 7860060 8296730 9956076 11487780 12445095 14934114 16593460 24890190 29868228 37335285 49780380 74670570 149341140