Search a number
-
+
14950680 = 2335314019
BaseRepresentation
bin111001000010…
…000100011000
31001010120110220
4321002010120
512311410210
61252240040
7241035663
oct71020430
931116426
1014950680
118491738
125010020
133136074
141db26da
1514a4c70
hexe42118

14950680 has 64 divisors (see below), whose sum is σ = 46310400. Its totient is φ = 3857280.

The previous prime is 14950657. The next prime is 14950687. The reversal of 14950680 is 8605941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14950687) 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, 1711 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (723600).

Almost surely, 214950680 is an apocalyptic number.

14950680 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 14950680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155200).

14950680 is an abundant number, since it is smaller than the sum of its proper divisors (31359720).

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

14950680 is a wasteful number, since it uses less digits than its factorization.

14950680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 14950680 is about 3866.6109191384. The cubic root of 14950680 is about 246.3506138020.

The spelling of 14950680 in words is "fourteen million, nine hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4019 8038 12057 16076 20095 24114 32152 40190 48228 60285 80380 96456 120570 124589 160760 241140 249178 373767 482280 498356 622945 747534 996712 1245890 1495068 1868835 2491780 2990136 3737670 4983560 7475340 14950680