Search a number
-
+
153144012 = 22373291283
BaseRepresentation
bin10010010000011…
…00101011001100
3101200011112002110
421020030223030
5303201102022
623110224020
73536463000
oct1110145314
9350145073
10153144012
117949a3aa
1243355010
132595cc78
14164a6700
15d6a100c
hex920cacc

153144012 has 96 divisors (see below), whose sum is σ = 431424000. Its totient is φ = 42213696.

The previous prime is 153143993. The next prime is 153144023. The reversal of 153144012 is 210441351.

It is a super-2 number, since 2×1531440122 = 46906176822912288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 153144012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118723 + ... + 120005.

It is an arithmetic number, because the mean of its divisors is an integer number (4494000).

Almost surely, 2153144012 is an apocalyptic number.

153144012 is a gapful number since it is divisible by the number (12) 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 153144012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215712000).

153144012 is an abundant number, since it is smaller than the sum of its proper divisors (278279988).

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

153144012 is a wasteful number, since it uses less digits than its factorization.

153144012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 153144012 is about 12375.1368477282. The cubic root of 153144012 is about 535.0158809738.

Adding to 153144012 its reverse (210441351), we get a palindrome (363585363).

The spelling of 153144012 in words is "one hundred fifty-three million, one hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 343 348 406 588 609 686 812 1029 1218 1283 1372 1421 2058 2436 2566 2842 3849 4116 4263 5132 5684 7698 8526 8981 9947 15396 17052 17962 19894 26943 29841 35924 37207 39788 53886 59682 62867 74414 107772 111621 119364 125734 148828 188601 223242 251468 260449 377202 440069 446484 520898 754404 781347 880138 1041796 1320207 1562694 1760276 1823143 2640414 3125388 3646286 5280828 5469429 7292572 10938858 12762001 21877716 25524002 38286003 51048004 76572006 153144012