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2012415324 = 22317191573307
BaseRepresentation
bin111011111110011…
…0000010101011100
312012020201021211220
41313330300111130
513110134242244
6531405013340
7100604151033
oct16774602534
95166637756
102012415324
11942a57467
12481b54250
13260c033ca
141513ab71a
15bba16319
hex77f3055c

2012415324 has 96 divisors (see below), whose sum is σ = 5268453120. Its totient is φ = 594127872.

The previous prime is 2012415323. The next prime is 2012415367. The reversal of 2012415324 is 4235142102.

It is a junction number, because it is equal to n+sod(n) for n = 2012415294 and 2012415303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012415323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606879 + ... + 610185.

It is an arithmetic number, because the mean of its divisors is an integer number (54879720).

Almost surely, 22012415324 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 2012415324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634226560).

2012415324 is an abundant number, since it is smaller than the sum of its proper divisors (3256037796).

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

2012415324 is a wasteful number, since it uses less digits than its factorization.

2012415324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2012415324 is about 44859.9523405899. The cubic root of 2012415324 is about 1262.5227285259.

Adding to 2012415324 its reverse (4235142102), we get a palindrome (6247557426).

The spelling of 2012415324 in words is "two billion, twelve million, four hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 157 204 228 314 323 471 628 646 942 969 1292 1884 1938 2669 2983 3307 3876 5338 5966 6614 8007 8949 9921 10676 11932 13228 16014 17898 19842 32028 35796 39684 50711 56219 62833 101422 112438 125666 152133 168657 188499 202844 224876 251332 304266 337314 376998 519199 608532 674628 753996 1038398 1068161 1557597 2076796 2136322 3115194 3204483 4272644 6230388 6408966 8826383 9864781 12817932 17652766 19729562 26479149 29594343 35305532 39459124 52958298 59188686 105916596 118377372 167701277 335402554 503103831 670805108 1006207662 2012415324