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18869040 = 2432573359
BaseRepresentation
bin100011111111…
…0101100110000
31022111122110100
41013332230300
514312302130
61512232400
7316245531
oct107765460
938448410
1018869040
11a718653
12639b700
133ba8718
142712688
1519cac60
hex11feb30

18869040 has 120 divisors (see below), whose sum is σ = 64415520. Its totient is φ = 4948992.

The previous prime is 18869029. The next prime is 18869041. The reversal of 18869040 is 4096881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 18868986 and 18869004.

It is not an unprimeable number, because it can be changed into a prime (18869041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52381 + ... + 52739.

It is an arithmetic number, because the mean of its divisors is an integer number (536796).

Almost surely, 218869040 is an apocalyptic number.

18869040 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 18869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32207760).

18869040 is an abundant number, since it is smaller than the sum of its proper divisors (45546480).

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

18869040 is a wasteful number, since it uses less digits than its factorization.

18869040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18869040 is about 4343.8508261680. The cubic root of 18869040 is about 266.2256739000.

The spelling of 18869040 in words is "eighteen million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 144 146 180 219 240 292 359 360 365 438 584 657 718 720 730 876 1077 1095 1168 1314 1436 1460 1752 1795 2154 2190 2628 2872 2920 3231 3285 3504 3590 4308 4380 5256 5385 5744 5840 6462 6570 7180 8616 8760 10512 10770 12924 13140 14360 16155 17232 17520 21540 25848 26207 26280 28720 32310 43080 51696 52414 52560 64620 78621 86160 104828 129240 131035 157242 209656 235863 258480 262070 314484 393105 419312 471726 524140 628968 786210 943452 1048280 1179315 1257936 1572420 1886904 2096560 2358630 3144840 3773808 4717260 6289680 9434520 18869040