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149813700 = 223523189181
BaseRepresentation
bin10001110110111…
…11100111000100
3101102220022202120
420323133213010
5301323014300
622511005540
73466252431
oct1073374704
9342808676
10149813700
1177625283
12422098b0
132506517a
1415c7ab88
15d2443a0
hex8edf9c4

149813700 has 144 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 38016000.

The previous prime is 149813693. The next prime is 149813753. The reversal of 149813700 is 7318941.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827610 + ... + 827790.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2149813700 is an apocalyptic number.

149813700 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 149813700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

149813700 is an abundant number, since it is smaller than the sum of its proper divisors (305157180).

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

149813700 is a wasteful number, since it uses less digits than its factorization.

149813700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 149813700 is about 12239.8406852377. The cubic root of 149813700 is about 531.1092231369.

It can be divided in two parts, 14981 and 3700, that added together give a palindrome (18681).

The spelling of 149813700 in words is "one hundred forty-nine million, eight hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 89 93 100 124 150 155 178 181 186 267 300 310 356 362 372 445 465 534 543 620 724 775 890 905 930 1068 1086 1335 1550 1780 1810 1860 2172 2225 2325 2670 2715 2759 3100 3620 4450 4525 4650 5340 5430 5518 5611 6675 8277 8900 9050 9300 10860 11036 11222 13350 13575 13795 16109 16554 16833 18100 22444 26700 27150 27590 28055 32218 33108 33666 41385 48327 54300 55180 56110 64436 67332 68975 80545 82770 84165 96654 112220 137950 140275 161090 165540 168330 193308 206925 241635 275900 280550 322180 336660 402725 413850 420825 483270 499379 561100 805450 827700 841650 966540 998758 1208175 1498137 1610900 1683300 1997516 2416350 2496895 2996274 4832700 4993790 5992548 7490685 9987580 12484475 14981370 24968950 29962740 37453425 49937900 74906850 149813700