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149285100 = 223524153229
BaseRepresentation
bin10001110010111…
…10100011101100
3101101220110122210
420321132203230
5301204110400
622451410420
73461621346
oct1071364354
9341813583
10149285100
11772a4118
1241bb3a10
1324c0b6a3
1415b80296
15d18c950
hex8e5e8ec

149285100 has 144 divisors (see below), whose sum is σ = 452783520. Its totient is φ = 37939200.

The previous prime is 149285089. The next prime is 149285107. The reversal of 149285100 is 1582941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (149285107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651786 + ... + 652014.

It is an arithmetic number, because the mean of its divisors is an integer number (3144330).

Almost surely, 2149285100 is an apocalyptic number.

149285100 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 149285100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226391760).

149285100 is an abundant number, since it is smaller than the sum of its proper divisors (303498420).

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

149285100 is a wasteful number, since it uses less digits than its factorization.

149285100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 149285100 is about 12218.2281857886. The cubic root of 149285100 is about 530.4838349042.

The spelling of 149285100 in words is "one hundred forty-nine million, two hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 53 60 75 82 100 106 123 150 159 164 205 212 229 246 265 300 318 410 458 492 530 615 636 687 795 820 916 1025 1060 1145 1230 1325 1374 1590 2050 2173 2290 2460 2650 2748 3075 3180 3435 3975 4100 4346 4580 5300 5725 6150 6519 6870 7950 8692 9389 10865 11450 12137 12300 13038 13740 15900 17175 18778 21730 22900 24274 26076 28167 32595 34350 36411 37556 43460 46945 48548 54325 56334 60685 65190 68700 72822 93890 108650 112668 121370 130380 140835 145644 162975 182055 187780 217300 234725 242740 281670 303425 325950 364110 469450 497617 563340 606850 651900 704175 728220 910275 938900 995234 1213700 1408350 1492851 1820550 1990468 2488085 2816700 2985702 3641100 4976170 5971404 7464255 9952340 12440425 14928510 24880850 29857020 37321275 49761700 74642550 149285100