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149311800 = 233252117541
BaseRepresentation
bin10001110011001…
…01000100111000
3101101221211021200
420321211010320
5301210434200
622452134200
73462062241
oct1071450470
9341854250
10149311800
1177312190
1242007360
1324c1a8a1
1415b89cc8
15d195800
hex8e65138

149311800 has 144 divisors (see below), whose sum is σ = 547096680. Its totient is φ = 36192000.

The previous prime is 149311769. The next prime is 149311801. The reversal of 149311800 is 8113941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149311801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16030 + ... + 23570.

Almost surely, 2149311800 is an apocalyptic number.

149311800 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 149311800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273548340).

149311800 is an abundant number, since it is smaller than the sum of its proper divisors (397784880).

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

149311800 is a wasteful number, since it uses less digits than its factorization.

149311800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 149311800 is about 12219.3207667202. The cubic root of 149311800 is about 530.5154591231.

The spelling of 149311800 in words is "one hundred forty-nine million, three hundred eleven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 7541 9900 15082 19800 22623 30164 37705 45246 60328 67869 75410 82951 90492 113115 135738 150820 165902 180984 188525 226230 248853 271476 301640 331804 339345 377050 414755 452460 497706 542952 565575 663608 678690 746559 754100 829510 904920 995412 1131150 1244265 1357380 1493118 1508200 1659020 1696725 1990824 2073775 2262300 2488530 2714760 2986236 3318040 3393450 3732795 4147550 4524600 4977060 5972472 6221325 6786900 7465590 8295100 9954120 12442650 13573800 14931180 16590200 18663975 24885300 29862360 37327950 49770600 74655900 149311800