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5312000 = 295383
BaseRepresentation
bin10100010000111000000000
3100222212200202
4110100320000
52324441000
6305504332
763102611
oct24207000
910885622
105312000
112aa8a91
1219420a8
13113cac5
149c3c08
156eddd5
hex510e00

5312000 has 80 divisors (see below), whose sum is σ = 13405392. Its totient is φ = 2099200.

The previous prime is 5311993. The next prime is 5312033. The reversal of 5312000 is 2135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63959 + ... + 64041.

Almost surely, 25312000 is an apocalyptic number.

5312000 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 5312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

5312000 is an abundant number, since it is smaller than the sum of its proper divisors (8093392).

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

5312000 is an frugal number, since it uses more digits than its factorization.

5312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 5312000 is about 2304.7776465421. Note that the first 3 decimals coincide. The cubic root of 5312000 is about 174.4828268582.

Adding to 5312000 its reverse (2135), we get a palindrome (5314135).

The spelling of 5312000 in words is "five million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 256 320 332 400 415 500 512 640 664 800 830 1000 1280 1328 1600 1660 2000 2075 2560 2656 3200 3320 4000 4150 5312 6400 6640 8000 8300 10375 10624 12800 13280 16000 16600 20750 21248 26560 32000 33200 41500 42496 53120 64000 66400 83000 106240 132800 166000 212480 265600 332000 531200 664000 1062400 1328000 2656000 5312000