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4997120 = 214561
BaseRepresentation
bin10011000100000000000000
3100101212202112
4103010000000
52234401440
6255034452
760321602
oct23040000
910355675
104997120
112903457
12180ba28
13105c69b
14941172
1568a965
hex4c4000

4997120 has 60 divisors (see below), whose sum is σ = 12189324. Its totient is φ = 1966080.

The previous prime is 4997119. The next prime is 4997173. The reversal of 4997120 is 217994.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 4194304 = 896^2 + 2048^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81890 + ... + 81950.

Almost surely, 24997120 is an apocalyptic number.

4997120 is a gapful number since it is divisible by the number (40) 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 4997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094662).

4997120 is an abundant number, since it is smaller than the sum of its proper divisors (7192204).

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

4997120 is an frugal number, since it uses more digits than its factorization.

4997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 4997120 is about 2235.4238971613. The cubic root of 4997120 is about 170.9647568238.

The spelling of 4997120 in words is "four million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1024 1220 1280 1952 2048 2440 2560 3904 4096 4880 5120 7808 8192 9760 10240 15616 16384 19520 20480 31232 39040 40960 62464 78080 81920 124928 156160 249856 312320 499712 624640 999424 1249280 2498560 4997120