Search a number
-
+
14969280 = 263531503
BaseRepresentation
bin111001000110…
…100111000000
31001011111222210
4321012213000
512313004110
61252502120
7241144134
oct71064700
931144883
1014969280
1184a4707
12501a940
133141681
141db93c4
1514aa520
hexe469c0

14969280 has 112 divisors (see below), whose sum is σ = 49158144. Its totient is φ = 3855360.

The previous prime is 14969263. The next prime is 14969281. The reversal of 14969280 is 8296941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29509 + ... + 30011.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 214969280 is an apocalyptic number.

14969280 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 14969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).

14969280 is an abundant number, since it is smaller than the sum of its proper divisors (34188864).

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

14969280 is a wasteful number, since it uses less digits than its factorization.

14969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 14969280 is about 3869.0153786203. The cubic root of 14969280 is about 246.4527322907.

The spelling of 14969280 in words is "fourteen million, nine hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 503 620 744 930 960 992 1006 1240 1488 1509 1860 1984 2012 2480 2515 2976 3018 3720 4024 4960 5030 5952 6036 7440 7545 8048 9920 10060 12072 14880 15090 15593 16096 20120 24144 29760 30180 31186 32192 40240 46779 48288 60360 62372 77965 80480 93558 96576 120720 124744 155930 160960 187116 233895 241440 249488 311860 374232 467790 482880 498976 623720 748464 935580 997952 1247440 1496928 1871160 2494880 2993856 3742320 4989760 7484640 14969280