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5312970 = 23251319239
BaseRepresentation
bin10100010001000111001010
3100222221000200
4110101013022
52330003340
6305513030
763105465
oct24210712
910887020
105312970
112aa9793
121942776
131140390
149c42dc
156ee330
hex5111ca

5312970 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1233792.

The previous prime is 5312963. The next prime is 5312971. The reversal of 5312970 is 792135.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5312971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22111 + ... + 22349.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 25312970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

5312970 is an abundant number, since it is smaller than the sum of its proper divisors (10411830).

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

5312970 is a wasteful number, since it uses less digits than its factorization.

5312970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

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

The square root of 5312970 is about 2304.9880693834. The cubic root of 5312970 is about 174.4934467152.

The spelling of 5312970 in words is "five million, three hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 239 247 285 342 390 478 494 570 585 717 741 855 1170 1195 1235 1434 1482 1710 2151 2223 2390 2470 3107 3585 3705 4302 4446 4541 6214 7170 7410 9082 9321 10755 11115 13623 15535 18642 21510 22230 22705 27246 27963 31070 40869 45410 46605 55926 59033 68115 81738 93210 118066 136230 139815 177099 204345 279630 295165 354198 408690 531297 590330 885495 1062594 1770990 2656485 5312970