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2420311428 = 2234191093607
BaseRepresentation
bin1001000001000011…
…0000010110000100
320020200020120010000
42100100300112010
514424044431203
61040055401300
7113656210353
oct22020602604
96220216100
102420311428
111032225887
12576683230
132c757aa52
1418d62999a
15e27394a3
hex90430584

2420311428 has 120 divisors (see below), whose sum is σ = 6723147200. Its totient is φ = 757086912.

The previous prime is 2420311427. The next prime is 2420311469. The reversal of 2420311428 is 8241130242.

2420311428 is a `hidden beast` number, since 24 + 203 + 11 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2420311427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 669201 + ... + 672807.

Almost surely, 22420311428 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 2420311428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361573600).

2420311428 is an abundant number, since it is smaller than the sum of its proper divisors (4302835772).

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

2420311428 is a wasteful number, since it uses less digits than its factorization.

2420311428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2420311428 is about 49196.6607403389. The cubic root of 2420311428 is about 1342.6322780931.

The spelling of 2420311428 in words is "two billion, four hundred twenty million, three hundred eleven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 109 114 162 171 218 228 324 327 342 436 513 654 684 981 1026 1308 1539 1962 2052 2071 2943 3078 3607 3924 4142 5886 6156 6213 7214 8284 8829 10821 11772 12426 14428 17658 18639 21642 24852 32463 35316 37278 43284 55917 64926 68533 74556 97389 111834 129852 137066 167751 194778 205599 223668 274132 292167 335502 389556 393163 411198 584334 616797 671004 786326 822396 1168668 1179489 1233594 1572652 1850391 2358978 2467188 3538467 3700782 4717956 5551173 7076934 7401564 7470097 10615401 11102346 14153868 14940194 21230802 22204692 22410291 29880388 31846203 42461604 44820582 63692406 67230873 89641164 127384812 134461746 201692619 268923492 403385238 605077857 806770476 1210155714 2420311428