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5312790 = 23457937
BaseRepresentation
bin10100010001000100010110
3100222220210000
4110101010112
52330002130
6305512130
763105120
oct24210426
910886700
105312790
112aa963a
121942646
131140282
149c4210
156ee260
hex511116

5312790 has 80 divisors (see below), whose sum is σ = 16343712. Its totient is φ = 1213056.

The previous prime is 5312777. The next prime is 5312803. The reversal of 5312790 is 972135.

It is an interprime number because it is at equal distance from previous prime (5312777) and next prime (5312803).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5202 + ... + 6138.

Almost surely, 25312790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171856).

5312790 is an abundant number, since it is smaller than the sum of its proper divisors (11030922).

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

5312790 is a wasteful number, since it uses less digits than its factorization.

5312790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5312790 is about 2304.9490232975. The cubic root of 5312790 is about 174.4914761178.

It can be divided in two parts, 531 and 2790, that added together give a triangular number (3321 = T81).

The spelling of 5312790 in words is "five million, three hundred twelve thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 937 945 1134 1874 1890 2811 2835 4685 5622 5670 6559 8433 9370 13118 14055 16866 19677 25299 28110 32795 39354 42165 50598 59031 65590 75897 84330 98385 118062 126495 151794 177093 196770 252990 295155 354186 379485 531279 590310 758970 885465 1062558 1770930 2656395 5312790