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1308965728 = 257172631307
BaseRepresentation
bin100111000000101…
…0011101101100000
310101020001100102011
41032001103231200
510140043400403
6333515402304
744303011420
oct11601235540
93336040364
101308965728
11611971364
12306453394
1317b256b45
14c5bb6480
1579db1a6d
hex4e053b60

1308965728 has 96 divisors (see below), whose sum is σ = 3132670464. Its totient is φ = 525576192.

The previous prime is 1308965699. The next prime is 1308965729. The reversal of 1308965728 is 8275698031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308965729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1000851 + ... + 1002157.

It is an arithmetic number, because the mean of its divisors is an integer number (32631984).

Almost surely, 21308965728 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 1308965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566335232).

1308965728 is an abundant number, since it is smaller than the sum of its proper divisors (1823704736).

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

1308965728 is a wasteful number, since it uses less digits than its factorization.

1308965728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 1308965728 is about 36179.6313966851. The cubic root of 1308965728 is about 1093.8961452257.

The spelling of 1308965728 in words is "one billion, three hundred eight million, nine hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 263 272 476 526 544 952 1052 1307 1841 1904 2104 2614 3682 3808 4208 4471 5228 7364 8416 8942 9149 10456 14728 17884 18298 20912 22219 29456 31297 35768 36596 41824 44438 58912 62594 71536 73192 88876 125188 143072 146384 155533 177752 250376 292768 311066 343741 355504 500752 622132 687482 711008 1001504 1244264 1374964 2406187 2488528 2749928 4812374 4977056 5499856 5843597 9624748 10999712 11687194 19249496 23374388 38498992 40905179 46748776 76997984 81810358 93497552 163620716 186995104 327241432 654482864 1308965728