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16420096 = 28731117
BaseRepresentation
bin111110101000…
…110100000000
31010220020010201
4332220310000
513200420341
61343534544
7256366000
oct76506400
933806121
1016420096
1192a5730
1255ba454
13352bb44
142276000
151695331
hexfa8d00

16420096 has 144 divisors (see below), whose sum is σ = 44150400. Its totient is φ = 6021120.

The previous prime is 16420093. The next prime is 16420121. The reversal of 16420096 is 69002461.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16420093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965880 + ... + 965896.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 216420096 is an apocalyptic number.

16420096 is a gapful number since it is divisible by the number (16) 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 16420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200).

16420096 is an abundant number, since it is smaller than the sum of its proper divisors (27730304).

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

16420096 is an equidigital number, since it uses as much as digits as its factorization.

16420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 16420096 is about 4052.1717633881. The cubic root of 16420096 is about 254.1705511306.

The spelling of 16420096 in words is "sixteen million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 77 88 98 112 119 128 136 154 176 187 196 224 238 256 272 308 343 352 374 392 448 476 539 544 616 686 704 748 784 833 896 952 1078 1088 1232 1309 1372 1408 1496 1568 1666 1792 1904 2156 2176 2464 2618 2744 2816 2992 3136 3332 3773 3808 4312 4352 4928 5236 5488 5831 5984 6272 6664 7546 7616 8624 9163 9856 10472 10976 11662 11968 12544 13328 15092 15232 17248 18326 19712 20944 21952 23324 23936 26656 30184 30464 34496 36652 41888 43904 46648 47872 53312 60368 64141 68992 73304 83776 87808 93296 106624 120736 128282 137984 146608 167552 186592 213248 241472 256564 293216 335104 373184 482944 513128 586432 746368 965888 1026256 1172864 1492736 2052512 2345728 4105024 8210048 16420096