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149646640 = 2451113103127
BaseRepresentation
bin10001110101101…
…10110100110000
3101102120211121011
420322312310300
5301302143030
622503240304
73464655403
oct1072666460
9342524534
10149646640
1177520810
1242149094
1325007110
1415c35d3a
15d20eb2a
hex8eb6d30

149646640 has 160 divisors (see below), whose sum is σ = 415973376. Its totient is φ = 49351680.

The previous prime is 149646617. The next prime is 149646643. The reversal of 149646640 is 46646941.

149646640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 149646593 and 149646602.

It is not an unprimeable number, because it can be changed into a prime (149646643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178257 + ... + 1178383.

Almost surely, 2149646640 is an apocalyptic number.

149646640 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 149646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

149646640 is an abundant number, since it is smaller than the sum of its proper divisors (266326736).

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

149646640 is a wasteful number, since it uses less digits than its factorization.

149646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 149646640 is about 12233.0143464315. The cubic root of 149646640 is about 530.9117331706.

The spelling of 149646640 in words is "one hundred forty-nine million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 103 104 110 127 130 143 176 206 208 220 254 260 286 412 440 508 515 520 572 635 715 824 880 1016 1030 1040 1133 1144 1270 1339 1397 1430 1648 1651 2032 2060 2266 2288 2540 2678 2794 2860 3302 4120 4532 5080 5356 5588 5665 5720 6604 6695 6985 8240 8255 9064 10160 10712 11176 11330 11440 13081 13208 13390 13970 14729 16510 18128 18161 21424 22352 22660 26162 26416 26780 27940 29458 33020 36322 45320 52324 53560 55880 58916 65405 66040 72644 73645 90640 90805 104648 107120 111760 117832 130810 132080 143891 145288 147290 170053 181610 209296 235664 261620 287782 290576 294580 340106 363220 523240 575564 589160 680212 719455 726440 850265 1046480 1151128 1178320 1360424 1438910 1452880 1700530 1870583 2302256 2720848 2877820 3401060 3741166 5755640 6802120 7482332 9352915 11511280 13604240 14964664 18705830 29929328 37411660 74823320 149646640