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20380416 = 283717223
BaseRepresentation
bin100110110111…
…1101100000000
31102100102200020
41031233230000
520204133131
62004453440
7335142060
oct115575400
942312606
1020380416
1110560121
1269aa280
1342b7624
1429c73a0
151bc8996
hex136fb00

20380416 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 5455872.

The previous prime is 20380343. The next prime is 20380427. The reversal of 20380416 is 61408302.

It is a happy number.

It is a super-2 number, since 2×203804162 = 830722712666112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91281 + ... + 91503.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 220380416 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 20380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

20380416 is an abundant number, since it is smaller than the sum of its proper divisors (45550848).

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

20380416 is a wasteful number, since it uses less digits than its factorization.

20380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20380416 is about 4514.4674104483. The cubic root of 20380416 is about 273.1519769935.

Adding to 20380416 its reverse (61408302), we get a palindrome (81788718).

The spelling of 20380416 in words is "twenty million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 223 224 238 256 272 336 357 384 408 446 448 476 544 669 672 714 768 816 892 896 952 1088 1338 1344 1428 1561 1632 1784 1792 1904 2176 2676 2688 2856 3122 3264 3568 3791 3808 4352 4683 5352 5376 5712 6244 6528 7136 7582 7616 9366 10704 11373 11424 12488 13056 14272 15164 15232 18732 21408 22746 22848 24976 26537 28544 30328 30464 37464 42816 45492 45696 49952 53074 57088 60656 74928 79611 85632 90984 91392 99904 106148 121312 149856 159222 171264 181968 199808 212296 242624 299712 318444 363936 399616 424592 485248 599424 636888 727872 849184 970496 1198848 1273776 1455744 1698368 2547552 2911488 3396736 5095104 6793472 10190208 20380416