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2145515124 = 2231710121031
BaseRepresentation
bin111111111100001…
…1111011001110100
312112112011110110010
41333320133121310
513343222440444
6552521500220
7104111402064
oct17770373164
95475143403
102145515124
11a010a62a5
124ba641670
13282665a9c
14164d373a4
15c85582b9
hex7fe1f674

2145515124 has 72 divisors (see below), whose sum is σ = 5358878784. Its totient is φ = 665792000.

The previous prime is 2145515111. The next prime is 2145515129. The reversal of 2145515124 is 4215155412.

It is a junction number, because it is equal to n+sod(n) for n = 2145515091 and 2145515100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145515129) 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, 2080489 + ... + 2081519.

It is an arithmetic number, because the mean of its divisors is an integer number (74428872).

Almost surely, 22145515124 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 2145515124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679439392).

2145515124 is an abundant number, since it is smaller than the sum of its proper divisors (3213363660).

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

2145515124 is a wasteful number, since it uses less digits than its factorization.

2145515124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1154 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 2145515124 is about 46319.7055690124. The cubic root of 2145515124 is about 1289.7648198154.

The spelling of 2145515124 in words is "two billion, one hundred forty-five million, five hundred fifteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1031 1212 1717 2062 3093 3434 4124 5151 6186 6868 10201 10302 12372 17527 20402 20604 30603 35054 40804 52581 61206 70108 104131 105162 122412 173417 208262 210324 312393 346834 416524 520251 624786 693668 1040502 1249572 1770227 2081004 3540454 5310681 7080908 10517231 10621362 21034462 21242724 31551693 42068924 63103386 126206772 178792927 357585854 536378781 715171708 1072757562 2145515124