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149664840 = 233513197487
BaseRepresentation
bin10001110101110…
…11010001001000
3101102121202120020
420322323101020
5301303233330
622503500440
73465062433
oct1072732110
9342552506
10149664840
1177533456
1242157720
13250124a0
1415c3c81a
15d215210
hex8ebb448

149664840 has 128 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 36578304.

The previous prime is 149664839. The next prime is 149664847. The reversal of 149664840 is 48466941.

149664840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149664792 and 149664801.

It is not an unprimeable number, because it can be changed into a prime (149664847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 307077 + ... + 307563.

It is an arithmetic number, because the mean of its divisors is an integer number (3804570).

Almost surely, 2149664840 is an apocalyptic number.

149664840 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 149664840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

149664840 is an abundant number, since it is smaller than the sum of its proper divisors (337320120).

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

149664840 is a wasteful number, since it uses less digits than its factorization.

149664840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 149664840 is about 12233.7582124219. The cubic root of 149664840 is about 530.9332554310.

The spelling of 149664840 in words is "one hundred forty-nine million, six hundred sixty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 197 260 312 390 394 487 520 591 780 788 974 985 1182 1461 1560 1576 1948 1970 2364 2435 2561 2922 2955 3896 3940 4728 4870 5122 5844 5910 6331 7305 7683 7880 9740 10244 11688 11820 12662 12805 14610 15366 18993 19480 20488 23640 25324 25610 29220 30732 31655 37986 38415 50648 51220 58440 61464 63310 75972 76830 94965 95939 102440 126620 151944 153660 189930 191878 253240 287817 307320 379860 383756 479695 575634 759720 767512 959390 1151268 1247207 1439085 1918780 2302536 2494414 2878170 3741621 3837560 4988828 5756340 6236035 7483242 9977656 11512680 12472070 14966484 18708105 24944140 29932968 37416210 49888280 74832420 149664840