Search a number
-
+
405325242210 = 235729101658969
BaseRepresentation
bin1011110010111110100…
…01000101111101100010
31102202012210221200222210
411321133101011331202
523120101230222320
6510112010342550
741166223466340
oct5713721057542
91382183850883
10405325242210
11146996594719
126667a72aa56
132c2b6995235
1415891528990
15a8241980e0
hex5e5f445f62

405325242210 has 128 divisors (see below), whose sum is σ = 1161474163200. Its totient is φ = 88565299200.

The previous prime is 405325242163. The next prime is 405325242233. The reversal of 405325242210 is 12242523504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285606 + ... + 944574.

It is an arithmetic number, because the mean of its divisors is an integer number (9074016900).

Almost surely, 2405325242210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405325242210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580737081600).

405325242210 is an abundant number, since it is smaller than the sum of its proper divisors (756148920990).

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

405325242210 is a wasteful number, since it uses less digits than its factorization.

405325242210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659116.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 405325242210 its reverse (12242523504), we get a palindrome (417567765714).

The spelling of 405325242210 in words is "four hundred five billion, three hundred twenty-five million, two hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 101 105 145 174 202 203 210 290 303 406 435 505 606 609 707 870 1010 1015 1218 1414 1515 2030 2121 2929 3030 3045 3535 4242 5858 6090 7070 8787 10605 14645 17574 20503 21210 29290 41006 43935 61509 87870 102515 123018 205030 307545 615090 658969 1317938 1976907 3294845 3953814 4612783 6589690 9225566 9884535 13838349 19110101 19769070 23063915 27676698 38220202 46127830 57330303 66555869 69191745 95550505 114660606 133111738 133770707 138383490 191101010 199667607 267541414 286651515 332779345 399335214 401312121 465891083 573303030 665558690 668853535 802624242 931782166 998338035 1337707070 1397673249 1930120201 1996676070 2006560605 2329455415 2795346498 3860240402 4013121210 4658910830 5790360603 6988366245 9650601005 11580721206 13510841407 13976732490 19301202010 27021682814 28951803015 40532524221 57903606030 67554207035 81065048442 135108414070 202662621105 405325242210