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153144060 = 223512232087
BaseRepresentation
bin10010010000011…
…00101011111100
3101200011112011020
421020030223330
5303201102220
623110224140
73536463066
oct1110145374
9350145136
10153144060
117949a443
1243355050
132595ccb4
14164a6736
15d6a1040
hex920cafc

153144060 has 48 divisors (see below), whose sum is σ = 429359616. Its totient is φ = 40785472.

The previous prime is 153144053. The next prime is 153144067. The reversal of 153144060 is 60441351.

It is an interprime number because it is at equal distance from previous prime (153144053) and next prime (153144067).

It is a super-2 number, since 2×1531440602 = 46906206226567200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153144060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153144067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72337 + ... + 74423.

It is an arithmetic number, because the mean of its divisors is an integer number (8944992).

Almost surely, 2153144060 is an apocalyptic number.

153144060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153144060 is an abundant number, since it is smaller than the sum of its proper divisors (276215556).

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

153144060 is a wasteful number, since it uses less digits than its factorization.

153144060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 153144060 is about 12375.1387871005. The cubic root of 153144060 is about 535.0159368706.

The spelling of 153144060 in words is "one hundred fifty-three million, one hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1223 2087 2446 3669 4174 4892 6115 6261 7338 8348 10435 12230 12522 14676 18345 20870 24460 25044 31305 36690 41740 62610 73380 125220 2552401 5104802 7657203 10209604 12762005 15314406 25524010 30628812 38286015 51048020 76572030 153144060