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20252440 = 23513172979
BaseRepresentation
bin100110101000…
…0011100011000
31102002221010101
41031100130120
520141034230
62002025144
7334100005
oct115203430
942087111
1020252440
1110482a5a
1269481b4
1342712c0
1429928ac
151ba0aca
hex1350718

20252440 has 128 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6709248.

The previous prime is 20252381. The next prime is 20252447. The reversal of 20252440 is 4425202.

It is a super-2 number, since 2×202524402 = 820322651907200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256321 + ... + 256399.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 220252440 is an apocalyptic number.

20252440 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 20252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

20252440 is an abundant number, since it is smaller than the sum of its proper divisors (34179560).

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

20252440 is a wasteful number, since it uses less digits than its factorization.

20252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 20252440 is about 4500.2711029448. The cubic root of 20252440 is about 272.5790360759.

Adding to 20252440 its reverse (4425202), we get a palindrome (24677642).

It can be divided in two parts, 2025 and 2440, that added together give a triangular number (4465 = T94).

The spelling of 20252440 in words is "twenty million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 29 34 40 52 58 65 68 79 85 104 116 130 136 145 158 170 221 232 260 290 316 340 377 395 442 493 520 580 632 680 754 790 884 986 1027 1105 1160 1343 1508 1580 1768 1885 1972 2054 2210 2291 2465 2686 3016 3160 3770 3944 4108 4420 4582 4930 5135 5372 6409 6715 7540 8216 8840 9164 9860 10270 10744 11455 12818 13430 15080 17459 18328 19720 20540 22910 25636 26860 29783 32045 34918 38947 41080 45820 51272 53720 59566 64090 69836 77894 87295 91640 119132 128180 139672 148915 155788 174590 194735 238264 256360 297830 311576 349180 389470 506311 595660 698360 778940 1012622 1191320 1557880 2025244 2531555 4050488 5063110 10126220 20252440