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149000000 = 2656149
BaseRepresentation
bin10001110000110…
…00111101000000
3101101100222120112
420320120331000
5301121000000
622441330452
73456323222
oct1070307500
9341328515
10149000000
11771199a6
1241a96a28
1324b3b9a6
1415b08412
15d133235
hex8e18f40

149000000 has 98 divisors (see below), whose sum is σ = 372065550. Its totient is φ = 59200000.

The previous prime is 148999993. The next prime is 149000017. The reversal of 149000000 is 941.

It can be written as a sum of positive squares in 7 ways, for example, as 139806976 + 9193024 = 11824^2 + 3032^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999926 + ... + 1000074.

Almost surely, 2149000000 is an apocalyptic number.

149000000 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 149000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186032775).

149000000 is an abundant number, since it is smaller than the sum of its proper divisors (223065550).

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

149000000 is an frugal number, since it uses more digits than its factorization.

149000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 149000000 is about 12206.5556157337. Note that the first 3 decimals coincide. The cubic root of 149000000 is about 530.1459192381.

Adding to 149000000 its reverse (941), we get a palindrome (149000941).

The spelling of 149000000 in words is "one hundred forty-nine million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 149 160 200 250 298 320 400 500 596 625 745 800 1000 1192 1250 1490 1600 2000 2384 2500 2980 3125 3725 4000 4768 5000 5960 6250 7450 8000 9536 10000 11920 12500 14900 15625 18625 20000 23840 25000 29800 31250 37250 40000 47680 50000 59600 62500 74500 93125 100000 119200 125000 149000 186250 200000 238400 250000 298000 372500 465625 500000 596000 745000 931250 1000000 1192000 1490000 1862500 2328125 2980000 3725000 4656250 5960000 7450000 9312500 14900000 18625000 29800000 37250000 74500000 149000000