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153012300 = 22352731487
BaseRepresentation
bin10010001111011…
…00100001001100
3101122220211102020
421013230201030
5303132343200
623103330140
73535404000
oct1107544114
9348824366
10153012300
117940a451
12432b0950
132591502c
1416470700
15d676ea0
hex91ec84c

153012300 has 144 divisors (see below), whose sum is σ = 516633600. Its totient is φ = 34950720.

The previous prime is 153012289. The next prime is 153012317. The reversal of 153012300 is 3210351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153012300.

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, 102157 + ... + 103643.

Almost surely, 2153012300 is an apocalyptic number.

153012300 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 153012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258316800).

153012300 is an abundant number, since it is smaller than the sum of its proper divisors (363621300).

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

153012300 is a wasteful number, since it uses less digits than its factorization.

153012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 153012300 is about 12369.8140648920. The cubic root of 153012300 is about 534.8624562713.

Adding to 153012300 its reverse (3210351), we get a palindrome (156222651).

The spelling of 153012300 in words is "one hundred fifty-three million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1487 1715 2058 2100 2450 2940 2974 3430 3675 4116 4461 4900 5145 5948 6860 7350 7435 8575 8922 10290 10409 14700 14870 17150 17844 20580 20818 22305 25725 29740 31227 34300 37175 41636 44610 51450 52045 62454 72863 74350 89220 102900 104090 111525 124908 145726 148700 156135 208180 218589 223050 260225 291452 312270 364315 437178 446100 510041 520450 624540 728630 780675 874356 1020082 1040900 1092945 1457260 1530123 1561350 1821575 2040164 2185890 2550205 3060246 3122700 3643150 4371780 5100410 5464725 6120492 7286300 7650615 10200820 10929450 12751025 15301230 21858900 25502050 30602460 38253075 51004100 76506150 153012300