Search a number
-
+
1317047028 = 2231131367877
BaseRepresentation
bin100111010000000…
…1000101011110100
310101210020220212120
41032200020223310
510144131001103
6334404515540
744431500153
oct11640105364
93353226776
101317047028
11616490a20
123090abbb0
1317cb2628b
14c6cbb59a
157a95b253
hex4e808af4

1317047028 has 96 divisors (see below), whose sum is σ = 3474014208. Its totient is φ = 384739200.

The previous prime is 1317046937. The next prime is 1317047041. The reversal of 1317047028 is 8207407131.

It is a happy number.

It is a super-2 number, since 2×13170470282 = 3469225747927265568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1317047028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501326 + ... + 1502202.

It is an arithmetic number, because the mean of its divisors is an integer number (36187648).

Almost surely, 21317047028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317047028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737007104).

1317047028 is an abundant number, since it is smaller than the sum of its proper divisors (2156967180).

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

1317047028 is a wasteful number, since it uses less digits than its factorization.

1317047028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1317047028 is about 36291.1425557256. The cubic root of 1317047028 is about 1096.1426956924.

The spelling of 1317047028 in words is "one billion, three hundred seventeen million, forty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 367 372 682 734 877 1023 1101 1364 1468 1754 2046 2202 2631 3508 4037 4092 4404 5262 8074 9647 10524 11377 12111 16148 19294 22754 24222 27187 28941 34131 38588 45508 48444 54374 57882 68262 81561 108748 115764 125147 136524 163122 250294 299057 321859 326244 375441 500588 598114 643718 750882 897171 965577 1196228 1287436 1501764 1794342 1931154 3540449 3588684 3862308 7080898 9977629 10621347 14161796 19955258 21242694 29932887 39910516 42485388 59865774 109753919 119731548 219507838 329261757 439015676 658523514 1317047028