Search a number
-
+
14941920 = 253574447
BaseRepresentation
bin111000111111…
…111011100000
31001010010110110
4320333323200
512311120140
61252131320
7241001310
oct70777340
931103413
1014941920
1184860a4
125006b40
133132096
141dad440
1514a2380
hexe3fee0

14941920 has 96 divisors (see below), whose sum is σ = 53803008. Its totient is φ = 3414528.

The previous prime is 14941897. The next prime is 14941921. The reversal of 14941920 is 2914941.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14941921) 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, 1137 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (560448).

Almost surely, 214941920 is an apocalyptic number.

14941920 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 14941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26901504).

14941920 is an abundant number, since it is smaller than the sum of its proper divisors (38861088).

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

14941920 is a wasteful number, since it uses less digits than its factorization.

14941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 14941920 is about 3865.4779782066. The cubic root of 14941920 is about 246.3024899486.

The spelling of 14941920 in words is "fourteen million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4447 8894 13341 17788 22235 26682 31129 35576 44470 53364 62258 66705 71152 88940 93387 106728 124516 133410 142304 155645 177880 186774 213456 249032 266820 311290 355760 373548 426912 466935 498064 533640 622580 711520 747096 933870 996128 1067280 1245160 1494192 1867740 2134560 2490320 2988384 3735480 4980640 7470960 14941920