Search a number
-
+
2129470524 = 22321719367499
BaseRepresentation
bin111111011101101…
…0010010000111100
312111101222022101200
41332323102100330
513330121024044
6551145535500
7103525125606
oct17673222074
95441868350
102129470524
119a30377a5
124b51a4590
1327c238b3c
14162b5c176
15c6e39369
hex7eed243c

2129470524 has 144 divisors (see below), whose sum is σ = 6027840000. Its totient is φ = 629918208.

The previous prime is 2129470481. The next prime is 2129470529. The reversal of 2129470524 is 4250749212.

2129470524 is a `hidden beast` number, since 2 + 129 + 4 + 7 + 0 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129470529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4267227 + ... + 4267725.

It is an arithmetic number, because the mean of its divisors is an integer number (41860000).

Almost surely, 22129470524 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 2129470524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013920000).

2129470524 is an abundant number, since it is smaller than the sum of its proper divisors (3898369476).

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

2129470524 is a wasteful number, since it uses less digits than its factorization.

2129470524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2129470524 is about 46146.1864513201. The cubic root of 2129470524 is about 1286.5417305855.

The spelling of 2129470524 in words is "two billion, one hundred twenty-nine million, four hundred seventy thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 367 499 612 646 684 734 969 998 1101 1292 1468 1497 1938 1996 2202 2907 2994 3303 3876 4404 4491 5814 5988 6239 6606 6973 8483 8982 9481 11628 12478 13212 13946 16966 17964 18717 18962 20919 24956 25449 27892 28443 33932 37434 37924 41838 50898 56151 56886 62757 74868 76347 83676 85329 101796 112302 113772 118541 125514 152694 161177 170658 183133 224604 237082 251028 305388 322354 341316 355623 366266 474164 483531 549399 644708 711246 732532 967062 1066869 1098798 1422492 1450593 1648197 1934124 2133738 2197596 2901186 3113261 3296394 3479527 4267476 5802372 6226522 6592788 6959054 9339783 10438581 12453044 13918108 18679566 20877162 28019349 31315743 37359132 41754324 56038698 59151959 62631486 112077396 118303918 125262972 177455877 236607836 354911754 532367631 709823508 1064735262 2129470524