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14161920 = 21135461
BaseRepresentation
bin110110000001…
…100000000000
3222122111111120
4312001200000
512111140140
61223312240
7231242253
oct66014000
928574446
1014161920
117aa3073
1248ab680
132c1b046
141c4909a
15139b1d0
hexd81800

14161920 has 96 divisors (see below), whose sum is σ = 45405360. Its totient is φ = 3768320.

The previous prime is 14161919. The next prime is 14161957. The reversal of 14161920 is 2916141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30490 + ... + 30950.

Almost surely, 214161920 is an apocalyptic number.

14161920 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 14161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702680).

14161920 is an abundant number, since it is smaller than the sum of its proper divisors (31243440).

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

14161920 is an equidigital number, since it uses as much as digits as its factorization.

14161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 14161920 is about 3763.2326529196. The cubic root of 14161920 is about 241.9398343246.

The spelling of 14161920 in words is "fourteen million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 461 480 512 640 768 922 960 1024 1280 1383 1536 1844 1920 2048 2305 2560 2766 3072 3688 3840 4610 5120 5532 6144 6915 7376 7680 9220 10240 11064 13830 14752 15360 18440 22128 27660 29504 30720 36880 44256 55320 59008 73760 88512 110640 118016 147520 177024 221280 236032 295040 354048 442560 472064 590080 708096 885120 944128 1180160 1416192 1770240 2360320 2832384 3540480 4720640 7080960 14161920