Search a number
-
+
14374920 = 23357109157
BaseRepresentation
bin110110110101…
…100000001000
31000001022200110
4312311200020
512134444140
61232034320
7233120250
oct66654010
930038613
1014374920
1181290aa
1249929a0
132c93c91
141ca2960
1513de380
hexdb5808

14374920 has 128 divisors (see below), whose sum is σ = 50054400. Its totient is φ = 3234816.

The previous prime is 14374909. The next prime is 14374933. The reversal of 14374920 is 2947341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91482 + ... + 91638.

It is an arithmetic number, because the mean of its divisors is an integer number (391050).

Almost surely, 214374920 is an apocalyptic number.

14374920 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 14374920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25027200).

14374920 is an abundant number, since it is smaller than the sum of its proper divisors (35679480).

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

14374920 is a wasteful number, since it uses less digits than its factorization.

14374920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 14374920 is about 3791.4271719235. The cubic root of 14374920 is about 243.1467554982.

The spelling of 14374920 in words is "fourteen million, three hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 109 120 140 157 168 210 218 280 314 327 420 436 471 545 628 654 763 785 840 872 942 1090 1099 1256 1308 1526 1570 1635 1884 2180 2198 2289 2355 2616 3052 3140 3270 3297 3768 3815 4360 4396 4578 4710 5495 6104 6280 6540 6594 7630 8792 9156 9420 10990 11445 13080 13188 15260 16485 17113 18312 18840 21980 22890 26376 30520 32970 34226 43960 45780 51339 65940 68452 85565 91560 102678 119791 131880 136904 171130 205356 239582 256695 342260 359373 410712 479164 513390 598955 684520 718746 958328 1026780 1197910 1437492 1796865 2053560 2395820 2874984 3593730 4791640 7187460 14374920