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5307000 = 233532961
BaseRepresentation
bin10100001111101001111000
3100222121211120
4110033221320
52324311000
6305425240
763052206
oct24175170
910877746
105307000
112aa5256
12193b220
13113a74a
149c2076
156ec6a0
hex50fa78

5307000 has 128 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 1344000.

The previous prime is 5306989. The next prime is 5307007. The reversal of 5307000 is 7035.

5307000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86970 + ... + 87030.

Almost surely, 25307000 is an apocalyptic number.

5307000 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 5307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

5307000 is an abundant number, since it is smaller than the sum of its proper divisors (12102600).

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

5307000 is a wasteful number, since it uses less digits than its factorization.

5307000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 5307000 is about 2303.6926878384. The cubic root of 5307000 is about 174.4280648099.

The spelling of 5307000 in words is "five million, three hundred seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 61 75 87 100 116 120 122 125 145 150 174 183 200 232 244 250 290 300 305 348 366 375 435 488 500 580 600 610 696 725 732 750 870 915 1000 1160 1220 1450 1464 1500 1525 1740 1769 1830 2175 2440 2900 3000 3050 3480 3538 3625 3660 4350 4575 5307 5800 6100 7076 7250 7320 7625 8700 8845 9150 10614 10875 12200 14152 14500 15250 17400 17690 18300 21228 21750 22875 26535 29000 30500 35380 36600 42456 43500 44225 45750 53070 61000 70760 87000 88450 91500 106140 132675 176900 183000 212280 221125 265350 353800 442250 530700 663375 884500 1061400 1326750 1769000 2653500 5307000