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54015012 = 223561911
BaseRepresentation
bin1100111000001…
…1010000100100
310202122020200000
43032003100210
5102311440022
65205421300
71224056112
oct316032044
9122566600
1054015012
1128543307
121610a830
13b262a5c
147260ab2
154b1e6ac
hex3383424

54015012 has 72 divisors (see below), whose sum is σ = 144074112. Its totient is φ = 17690400.

The previous prime is 54015011. The next prime is 54015029. The reversal of 54015012 is 21051045.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54015011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58837 + ... + 59747.

Almost surely, 254015012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54015012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

54015012 is an abundant number, since it is smaller than the sum of its proper divisors (90059100).

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

54015012 is a wasteful number, since it uses less digits than its factorization.

54015012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 54015012 is about 7349.4905945923. The cubic root of 54015012 is about 378.0113375284.

Adding to 54015012 its reverse (21051045), we get a palindrome (75066057).

It can be divided in two parts, 540150 and 12, that multiplied together give a triangular number (6481800 = T3600).

The spelling of 54015012 in words is "fifty-four million, fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 911 972 1098 1647 1822 2196 2733 3294 3644 4941 5466 6588 8199 9882 10932 14823 16398 19764 24597 29646 32796 49194 55571 59292 73791 98388 111142 147582 166713 221373 222284 295164 333426 442746 500139 666852 885492 1000278 1500417 2000556 3000834 4501251 6001668 9002502 13503753 18005004 27007506 54015012