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12479480 = 23513103233
BaseRepresentation
bin101111100110…
…101111111000
3212111000121222
4233212233320
511143320410
61123251212
7211034216
oct57465770
925430558
1012479480
117054022
124219b08
13277c310
14192bcb6
151167955
hexbe6bf8

12479480 has 64 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 4543488.

The previous prime is 12479477. The next prime is 12479507. The reversal of 12479480 is 8497421.

It is a self number, because there is not a number n which added to its sum of digits gives 12479480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53444 + ... + 53676.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 212479480 is an apocalyptic number.

12479480 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 12479480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

12479480 is an abundant number, since it is smaller than the sum of its proper divisors (18183880).

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

12479480 is a wasteful number, since it uses less digits than its factorization.

12479480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 12479480 is about 3532.6307477573. The cubic root of 12479480 is about 231.9523782557.

The spelling of 12479480 in words is "twelve million, four hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 233 260 412 466 515 520 824 932 1030 1165 1339 1864 2060 2330 2678 3029 4120 4660 5356 6058 6695 9320 10712 12116 13390 15145 23999 24232 26780 30290 47998 53560 60580 95996 119995 121160 191992 239990 311987 479980 623974 959960 1247948 1559935 2495896 3119870 6239740 12479480