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1801693404 = 2232744316139
BaseRepresentation
bin110101101100011…
…1010100011011100
311122120012111201100
41223120322203130
512142213142104
6454440313100
762435066310
oct15330724334
94576174640
101801693404
11845010a15
12423472790
13229363a94
141313d7b40
15a8290139
hex6b63a8dc

1801693404 has 72 divisors (see below), whose sum is σ = 5216964480. Its totient is φ = 513575712.

The previous prime is 1801693403. The next prime is 1801693409. The reversal of 1801693404 is 4043961081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801693403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103567 + ... + 119705.

It is an arithmetic number, because the mean of its divisors is an integer number (72457840).

Almost surely, 21801693404 is an apocalyptic number.

1801693404 is a gapful number since it is divisible by the number (14) 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 1801693404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608482240).

1801693404 is an abundant number, since it is smaller than the sum of its proper divisors (3415271076).

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

1801693404 is a wasteful number, since it uses less digits than its factorization.

1801693404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16599 (or 16594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1801693404 is about 42446.3591371510. The cubic root of 1801693404 is about 1216.8217471510.

The spelling of 1801693404 in words is "one billion, eight hundred one million, six hundred ninety-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 443 886 1329 1772 2658 3101 3987 5316 6202 7974 9303 12404 15948 16139 18606 27909 32278 37212 48417 55818 64556 96834 111636 112973 145251 193668 225946 290502 338919 451892 581004 677838 1016757 1355676 2033514 4067028 7149577 14299154 21448731 28598308 42897462 50047039 64346193 85794924 100094078 128692386 150141117 200188156 257384772 300282234 450423351 600564468 900846702 1801693404