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5153200 = 245213991
BaseRepresentation
bin10011101010000110110000
3100200210212021
4103222012300
52304400300
6302241224
761541623
oct23520660
910623767
105153200
1129aa748
121886214
1310b5740
14981dba
156bbd1a
hex4ea1b0

5153200 has 60 divisors (see below), whose sum is σ = 13346368. Its totient is φ = 1900800.

The previous prime is 5153191. The next prime is 5153201. The reversal of 5153200 is 23515.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5153201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4705 + ... + 5695.

Almost surely, 25153200 is an apocalyptic number.

5153200 is a gapful number since it is divisible by the number (50) 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 5153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673184).

5153200 is an abundant number, since it is smaller than the sum of its proper divisors (8193168).

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

5153200 is a wasteful number, since it uses less digits than its factorization.

5153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5153200 is about 2270.0660783334. The cubic root of 5153200 is about 172.7265105313.

Adding to 5153200 its reverse (23515), we get a palindrome (5176715).

The spelling of 5153200 in words is "five million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 991 1040 1300 1982 2600 3964 4955 5200 7928 9910 12883 15856 19820 24775 25766 39640 49550 51532 64415 79280 99100 103064 128830 198200 206128 257660 322075 396400 515320 644150 1030640 1288300 2576600 5153200