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16801840 = 2451161313
BaseRepresentation
bin100000000011…
…0000000110000
31011121121210101
41000012000300
513300124330
61400042144
7262545646
oct100060060
934547711
1016801840
119536520
125763354
133633823
142335196
15171d4ca
hex1006030

16801840 has 80 divisors (see below), whose sum is σ = 43452576. Its totient is φ = 5990400.

The previous prime is 16801819. The next prime is 16801849. The reversal of 16801840 is 4810861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 16801799 and 16801808.

It is not an unprimeable number, because it can be changed into a prime (16801849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53524 + ... + 53836.

Almost surely, 216801840 is an apocalyptic number.

16801840 is a gapful number since it is divisible by the number (10) 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 16801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726288).

16801840 is an abundant number, since it is smaller than the sum of its proper divisors (26650736).

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

16801840 is a wasteful number, since it uses less digits than its factorization.

16801840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 16801840 is about 4099.0047572551. The cubic root of 16801840 is about 256.1251829167.

The spelling of 16801840 in words is "sixteen million, eight hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 313 440 488 610 626 671 880 976 1220 1252 1342 1565 2440 2504 2684 3130 3355 3443 4880 5008 5368 6260 6710 6886 10736 12520 13420 13772 17215 19093 25040 26840 27544 34430 38186 53680 55088 68860 76372 95465 137720 152744 190930 210023 275440 305488 381860 420046 763720 840092 1050115 1527440 1680184 2100230 3360368 4200460 8400920 16801840