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1369956952 = 2371343107409
BaseRepresentation
bin101000110100111…
…1110001001011000
310112110211000122101
41101221332021120
510301202110302
6343534533144
745643304410
oct12151761130
93473730571
101369956952
11643339a31
123229671b4
1318aa90020
14cdd31640
158040d287
hex51a7e258

1369956952 has 128 divisors (see below), whose sum is σ = 3273177600. Its totient is φ = 523127808.

The previous prime is 1369956947. The next prime is 1369956979. The reversal of 1369956952 is 2596599631.

It is a happy number.

It is a super-3 number, since 3×13699569523 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1369956893 and 1369956902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3349324 + ... + 3349732.

It is an arithmetic number, because the mean of its divisors is an integer number (25571700).

Almost surely, 21369956952 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 1369956952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636588800).

1369956952 is an abundant number, since it is smaller than the sum of its proper divisors (1903220648).

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

1369956952 is a wasteful number, since it uses less digits than its factorization.

1369956952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 55.

The square root of 1369956952 is about 37012.9295246945. The cubic root of 1369956952 is about 1110.6289085436.

The spelling of 1369956952 in words is "one billion, three hundred sixty-nine million, nine hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 107 172 182 214 301 344 364 409 428 559 602 728 749 818 856 1118 1204 1391 1498 1636 2236 2408 2782 2863 2996 3272 3913 4472 4601 5317 5564 5726 5992 7826 9202 9737 10634 11128 11452 15652 17587 18404 19474 21268 22904 31304 32207 35174 36808 37219 38948 42536 43763 59813 64414 70348 74438 77896 87526 119626 123109 128828 140696 148876 175052 228631 239252 246218 257656 297752 306341 350104 418691 457262 478504 492436 568919 612682 837382 914524 984872 1137838 1225364 1600417 1674764 1829048 1881809 2275676 2450728 3200834 3349528 3763618 3982433 4551352 6401668 7527236 7964866 12803336 13172663 15054472 15929732 24463517 26345326 31859464 48927034 52690652 97854068 105381304 171244619 195708136 342489238 684978476 1369956952