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6406030224 = 24321137109303
BaseRepresentation
bin1011111011101010…
…00100001110010000
3121112110002001102200
411331311010032100
5101104420431344
62535355243200
7314514233646
oct57565041620
917473061380
106406030224
112798045360
1212a9449500
137b123c039
1444ab03196
152775dd069
hex17dd44390

6406030224 has 120 divisors (see below), whose sum is σ = 20086577472. Its totient is φ = 1888738560.

The previous prime is 6406030223. The next prime is 6406030249. The reversal of 6406030224 is 4220306046.

6406030224 is a `hidden beast` number, since 6 + 406 + 0 + 30 + 224 = 666.

It is not an unprimeable number, because it can be changed into a prime (6406030223) 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, 3957 + ... + 113259.

Almost surely, 26406030224 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 6406030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10043288736).

6406030224 is an abundant number, since it is smaller than the sum of its proper divisors (13680547248).

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

6406030224 is a wasteful number, since it uses less digits than its factorization.

6406030224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109365 (or 109356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6406030224 is about 80037.6800263476. The cubic root of 6406030224 is about 1857.2184716556.

The spelling of 6406030224 in words is "six billion, four hundred six million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 109303 218606 327909 437212 655818 874424 983727 1202333 1311636 1748848 1967454 2404666 2623272 3606999 3934908 4044211 4809332 5246544 7213998 7869816 8088422 9618664 10820997 12132633 14427996 15739632 16176844 19237328 21641994 24265266 28855992 32353688 36397899 43283988 44486321 48530532 57711984 64707376 72795798 86567976 88972642 97061064 133458963 145591596 173135952 177945284 194122128 266917926 291183192 355890568 400376889 533835852 582366384 711781136 800753778 1067671704 1601507556 2135343408 3203015112 6406030224