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149027040 = 253553833
BaseRepresentation
bin10001110000111…
…11100011100000
3101101102100200000
420320133203200
5301122331130
622442100000
73456465111
oct1070374340
9341370600
10149027040
1177138248
1241aaa600
1324b4b0a6
1415b14208
15d13b260
hex8e1f8e0

149027040 has 144 divisors (see below), whose sum is σ = 527527728. Its totient is φ = 39730176.

The previous prime is 149026993. The next prime is 149027057. The reversal of 149027040 is 40720941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 149026995 and 149027013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36964 + ... + 40796.

It is an arithmetic number, because the mean of its divisors is an integer number (3663387).

Almost surely, 2149027040 is an apocalyptic number.

149027040 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 149027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263763864).

149027040 is an abundant number, since it is smaller than the sum of its proper divisors (378500688).

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

149027040 is an equidigital number, since it uses as much as digits as its factorization.

149027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 149027040 is about 12207.6631670439. The cubic root of 149027040 is about 530.1779869754.

Adding to 149027040 its reverse (40720941), we get a palindrome (189747981).

The spelling of 149027040 in words is "one hundred forty-nine million, twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3833 3888 4320 4860 6480 7666 7776 9720 11499 12960 15332 19165 19440 22998 30664 34497 38330 38880 45996 57495 61328 68994 76660 91992 103491 114990 122656 137988 153320 172485 183984 206982 229980 275976 306640 310473 344970 367968 413964 459960 517455 551952 613280 620946 689940 827928 919920 931419 1034910 1103904 1241892 1379880 1552365 1655856 1839840 1862838 2069820 2483784 2759760 3104730 3311712 3725676 4139640 4657095 4967568 5519520 6209460 7451352 8279280 9314190 9935136 12418920 14902704 16558560 18628380 24837840 29805408 37256760 49675680 74513520 149027040