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20642440 = 23571353107
BaseRepresentation
bin100111010111…
…1101010001000
31102211202002211
41032233222020
520241024230
62014234504
7340313020
oct116575210
942752084
1020642440
1110719a75
126ab5a34
134379980
142a54a80
151c2b42a
hex13afa88

20642440 has 128 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 6349824.

The previous prime is 20642423. The next prime is 20642443. The reversal of 20642440 is 4424602.

It is a super-2 number, since 2×206424402 = 852220658307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20642443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192867 + ... + 192973.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 220642440 is an apocalyptic number.

20642440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

20642440 is an abundant number, since it is smaller than the sum of its proper divisors (38144120).

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

20642440 is a wasteful number, since it uses less digits than its factorization.

20642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 20642440 is about 4543.3952062307. The cubic root of 20642440 is about 274.3176028360.

The spelling of 20642440 in words is "twenty million, six hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 91 104 106 107 130 140 182 212 214 260 265 280 364 371 424 428 455 520 530 535 689 728 742 749 856 910 1060 1070 1378 1391 1484 1498 1820 1855 2120 2140 2756 2782 2968 2996 3445 3640 3710 3745 4280 4823 5512 5564 5671 5992 6890 6955 7420 7490 9646 9737 11128 11342 13780 13910 14840 14980 19292 19474 22684 24115 27560 27820 28355 29960 38584 38948 39697 45368 48230 48685 55640 56710 73723 77896 79394 96460 97370 113420 147446 158788 192920 194740 198485 226840 294892 317576 368615 389480 396970 516061 589784 737230 793940 1032122 1474460 1587880 2064244 2580305 2948920 4128488 5160610 10321220 20642440