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149008680 = 23335281491
BaseRepresentation
bin10001110000110…
…11000100101000
3101101101102111000
420320123010220
5301121234210
622441435000
73456360432
oct1070330450
9341342430
10149008680
1177125477
1241a9ba60
1324b42922
1415b0b652
15d135ac0
hex8e1b128

149008680 has 128 divisors (see below), whose sum is σ = 499478400. Its totient is φ = 39513600.

The previous prime is 149008669. The next prime is 149008681. The reversal of 149008680 is 86800941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149008681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 303235 + ... + 303725.

It is an arithmetic number, because the mean of its divisors is an integer number (3902175).

Almost surely, 2149008680 is an apocalyptic number.

149008680 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 149008680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249739200).

149008680 is an abundant number, since it is smaller than the sum of its proper divisors (350469720).

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

149008680 is a wasteful number, since it uses less digits than its factorization.

149008680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149008680 is about 12206.9111572093. The cubic root of 149008680 is about 530.1562135943.

The spelling of 149008680 in words is "one hundred forty-nine million, eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 281 360 491 540 562 843 982 1080 1124 1405 1473 1686 1964 2248 2455 2529 2810 2946 3372 3928 4215 4419 4910 5058 5620 5892 6744 7365 7587 8430 8838 9820 10116 11240 11784 12645 13257 14730 15174 16860 17676 19640 20232 22095 25290 26514 29460 30348 33720 35352 37935 44190 50580 53028 58920 60696 66285 75870 88380 101160 106056 132570 137971 151740 176760 265140 275942 303480 413913 530280 551884 689855 827826 1103768 1241739 1379710 1655652 2069565 2483478 2759420 3311304 3725217 4139130 4966956 5518840 6208695 7450434 8278260 9933912 12417390 14900868 16556520 18626085 24834780 29801736 37252170 49669560 74504340 149008680