Search a number
-
+
14997960 = 233551543
BaseRepresentation
bin111001001101…
…100111001000
31001012222100000
4321031213020
512314413320
61253243000
7241323555
oct71154710
931188300
1014997960
11851420a
125033460
133151743
141dc5a2c
1514b3c90
hexe4d9c8

14997960 has 96 divisors (see below), whose sum is σ = 50581440. Its totient is φ = 3996864.

The previous prime is 14997949. The next prime is 14997971. The reversal of 14997960 is 6979941.

14997960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14997949) and next prime (14997971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8949 + ... + 10491.

It is an arithmetic number, because the mean of its divisors is an integer number (526890).

Almost surely, 214997960 is an apocalyptic number.

14997960 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 14997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25290720).

14997960 is an abundant number, since it is smaller than the sum of its proper divisors (35583480).

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

14997960 is a wasteful number, since it uses less digits than its factorization.

14997960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 14997960 is about 3872.7199743849. The cubic root of 14997960 is about 246.6100267648.

The spelling of 14997960 in words is "fourteen million, nine hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1543 1620 1944 2430 3086 3240 4629 4860 6172 7715 9258 9720 12344 13887 15430 18516 23145 27774 30860 37032 41661 46290 55548 61720 69435 83322 92580 111096 124983 138870 166644 185160 208305 249966 277740 333288 374949 416610 499932 555480 624915 749898 833220 999864 1249830 1499796 1666440 1874745 2499660 2999592 3749490 4999320 7498980 14997960