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14098920 = 2335112971
BaseRepresentation
bin110101110010…
…000111101000
3222112022002020
4311302013220
512102131140
61222104440
7230560503
oct65620750
928468066
1014098920
117a5a800
12487b120
132bc8474
141c3013a
1513876d0
hexd721e8

14098920 has 96 divisors (see below), whose sum is σ = 46539360. Its totient is φ = 3414400.

The previous prime is 14098879. The next prime is 14098927. The reversal of 14098920 is 2989041.

14098920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14098927) 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, 14035 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 214098920 is an apocalyptic number.

14098920 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 14098920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269680).

14098920 is an abundant number, since it is smaller than the sum of its proper divisors (32440440).

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

14098920 is a wasteful number, since it uses less digits than its factorization.

14098920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 14098920 is about 3754.8528599667. The cubic root of 14098920 is about 241.5805405873.

The spelling of 14098920 in words is "fourteen million, ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 971 1210 1320 1452 1815 1942 2420 2904 2913 3630 3884 4840 4855 5826 7260 7768 9710 10681 11652 14520 14565 19420 21362 23304 29130 32043 38840 42724 53405 58260 64086 85448 106810 116520 117491 128172 160215 213620 234982 256344 320430 352473 427240 469964 587455 640860 704946 939928 1174910 1281720 1409892 1762365 2349820 2819784 3524730 4699640 7049460 14098920