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1387016960 = 2857283547
BaseRepresentation
bin101001010101100…
…0011001100000000
310120122220202120112
41102223003030000
510320034020320
6345344330452
746241310140
oct12253031400
93518822515
101387016960
11651a3140a
12328613a28
131914841c4
14d22d2920
1581b7cec5
hex52ac3300

1387016960 has 144 divisors (see below), whose sum is σ = 3817341696. Its totient is φ = 473001984.

The previous prime is 1387016951. The next prime is 1387016977. The reversal of 1387016960 is 696107831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535407 + ... + 2535953.

Almost surely, 21387016960 is an apocalyptic number.

1387016960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908670848).

1387016960 is an abundant number, since it is smaller than the sum of its proper divisors (2430324736).

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

1387016960 is an equidigital number, since it uses as much as digits as its factorization.

1387016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 1387016960 is about 37242.6765955402. The cubic root of 1387016960 is about 1115.2201057560.

The spelling of 1387016960 in words is "one billion, three hundred eighty-seven million, sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 283 320 448 547 560 566 640 896 1094 1120 1132 1280 1415 1792 1981 2188 2240 2264 2735 2830 3829 3962 4376 4480 4528 5470 5660 7658 7924 8752 8960 9056 9905 10940 11320 15316 15848 17504 18112 19145 19810 21880 22640 30632 31696 35008 36224 38290 39620 43760 45280 61264 63392 70016 72448 76580 79240 87520 90560 122528 126784 140032 153160 154801 158480 175040 181120 245056 253568 306320 309602 316960 350080 362240 490112 507136 612640 619204 633920 700160 774005 980224 1083607 1225280 1238408 1267840 1548010 2167214 2450560 2476816 2535680 3096020 4334428 4901120 4953632 5418035 6192040 8668856 9907264 10836070 12384080 17337712 19814528 21672140 24768160 34675424 39629056 43344280 49536320 69350848 86688560 99072640 138701696 173377120 198145280 277403392 346754240 693508480 1387016960