Search a number
-
+
1363642104 = 23311371371019
BaseRepresentation
bin101000101000111…
…1000011011111000
310112000221012022010
41101101320123320
510243043021404
6343151325520
745535523646
oct12121703370
93460835263
101363642104
1163a816550
123208208a0
1318968b926
14cd16a196
157eab2189
hex514786f8

1363642104 has 128 divisors (see below), whose sum is σ = 3851193600. Its totient is φ = 398730240.

The previous prime is 1363642081. The next prime is 1363642151. The reversal of 1363642104 is 4012463631.

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, 1337707 + ... + 1338725.

It is an arithmetic number, because the mean of its divisors is an integer number (30087450).

Almost surely, 21363642104 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 1363642104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925596800).

1363642104 is an abundant number, since it is smaller than the sum of its proper divisors (2487551496).

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

1363642104 is a wasteful number, since it uses less digits than its factorization.

1363642104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1363642104 is about 36927.5250186091. The cubic root of 1363642104 is about 1108.9197899623.

The spelling of 1363642104 in words is "one billion, three hundred sixty-three million, six hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 137 148 222 264 274 296 407 411 444 548 814 822 888 1019 1096 1221 1507 1628 1644 2038 2442 3014 3057 3256 3288 4076 4521 4884 5069 6028 6114 8152 9042 9768 10138 11209 12056 12228 15207 18084 20276 22418 24456 30414 33627 36168 37703 40552 44836 55759 60828 67254 75406 89672 111518 113109 121656 134508 139603 150812 167277 223036 226218 269016 279206 301624 334554 414733 418809 446072 452436 558412 669108 829466 837618 904872 1116824 1244199 1338216 1535633 1658932 1675236 2488398 3071266 3317864 3350472 4606899 4976796 5165311 6142532 9213798 9953592 10330622 12285064 15495933 18427596 20661244 30991866 36855192 41322488 56818421 61983732 113636842 123967464 170455263 227273684 340910526 454547368 681821052 1363642104