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149944860 = 2232513139461
BaseRepresentation
bin10001110111111…
…11101000011100
3101110010222200100
420323333220130
5301341213420
622513501100
73500340012
oct1073775034
9343128610
10149944860
117770487a
1242271790
13250aca90
1415cb28b2
15d26d190
hex8effa1c

149944860 has 144 divisors (see below), whose sum is σ = 494413920. Its totient is φ = 36564480.

The previous prime is 149944853. The next prime is 149944867. The reversal of 149944860 is 68449941.

149944860 is a `hidden beast` number, since 149 + 9 + 448 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (149944853) and next prime (149944867).

It is a super-2 number, since 2×1499448602 = 44966922080839200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149944867) 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 47 ways as a sum of consecutive naturals, for example, 325030 + ... + 325490.

It is an arithmetic number, because the mean of its divisors is an integer number (3433430).

Almost surely, 2149944860 is an apocalyptic number.

149944860 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 149944860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247206960).

149944860 is an abundant number, since it is smaller than the sum of its proper divisors (344469060).

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

149944860 is a wasteful number, since it uses less digits than its factorization.

149944860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 149944860 is about 12245.1974259299. The cubic root of 149944860 is about 531.2641710637.

The spelling of 149944860 in words is "one hundred forty-nine million, nine hundred forty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 139 156 180 195 234 260 278 390 417 461 468 556 585 695 780 834 922 1170 1251 1383 1390 1668 1807 1844 2085 2305 2340 2502 2766 2780 3614 4149 4170 4610 5004 5421 5532 5993 6255 6915 7228 8298 8340 9035 9220 10842 11986 12510 13830 16263 16596 17979 18070 20745 21684 23972 25020 27105 27660 29965 32526 35958 36140 41490 53937 54210 59930 64079 65052 71916 81315 82980 89895 107874 108420 119860 128158 162630 179790 192237 215748 256316 269685 320395 325260 359580 384474 539370 576711 640790 768948 833027 961185 1078740 1153422 1281580 1666054 1922370 2306844 2499081 2883555 3332108 3844740 4165135 4998162 5767110 7497243 8330270 9996324 11534220 12495405 14994486 16660540 24990810 29988972 37486215 49981620 74972430 149944860