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2029137684 = 2237713131087
BaseRepresentation
bin111100011110010…
…0010111100010100
312020102011212121120
41320330202330110
513123424401214
6533203243540
7101166246210
oct17074427424
95212155546
102029137684
119514391a2
124876795b0
132645099b2
141536c1940
15bd21aea9
hex78f22f14

2029137684 has 96 divisors (see below), whose sum is σ = 5509840896. Its totient is φ = 569237760.

The previous prime is 2029137667. The next prime is 2029137709. The reversal of 2029137684 is 4867319202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866189 + ... + 1867275.

It is an arithmetic number, because the mean of its divisors is an integer number (57394176).

Almost surely, 22029137684 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 2029137684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754920448).

2029137684 is an abundant number, since it is smaller than the sum of its proper divisors (3480703212).

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

2029137684 is a wasteful number, since it uses less digits than its factorization.

2029137684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2029137684 is about 45045.9508058161. The cubic root of 2029137684 is about 1266.0101050133.

It can be divided in two parts, 20291 and 37684, that added together give a palindrome (57975).

The spelling of 2029137684 in words is "two billion, twenty-nine million, one hundred thirty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 313 426 497 626 852 939 994 1087 1252 1491 1878 1988 2174 2191 2982 3261 3756 4348 4382 5964 6522 6573 7609 8764 13044 13146 15218 22223 22827 26292 30436 44446 45654 66669 77177 88892 91308 133338 154354 155561 231531 266676 308708 311122 340231 463062 466683 540239 622244 680462 926124 933366 1020693 1080478 1360924 1620717 1866732 2041386 2160956 2381617 3241434 4082772 4763234 6482868 7144851 9526468 14289702 24156401 28579404 48312802 72469203 96625604 144938406 169094807 289876812 338189614 507284421 676379228 1014568842 2029137684