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1387220736 = 28311315297
BaseRepresentation
bin101001010101111…
…0100111100000000
310120200022010002210
41102223310330000
510320112030421
6345352542120
746243116216
oct12253647400
93520263083
101387220736
11652060520
123286b1940
13191525b95
14d2346cb6
1581bbd576
hex52af4f00

1387220736 has 144 divisors (see below), whose sum is σ = 4158379008. Its totient is φ = 406732800.

The previous prime is 1387220717. The next prime is 1387220753. The reversal of 1387220736 is 6370227831.

It is a junction number, because it is equal to n+sod(n) for n = 1387220694 and 1387220703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259240 + ... + 264536.

It is an arithmetic number, because the mean of its divisors is an integer number (28877632).

Almost surely, 21387220736 is an apocalyptic number.

1387220736 is a gapful number since it is divisible by the number (16) 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 1387220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079189504).

1387220736 is an abundant number, since it is smaller than the sum of its proper divisors (2771158272).

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

1387220736 is a wasteful number, since it uses less digits than its factorization.

1387220736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1387220736 is about 37245.4122812461. The cubic root of 1387220736 is about 1115.2747179130.

The spelling of 1387220736 in words is "one billion, three hundred eighty-seven million, two hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2816 2976 3968 4092 4224 5297 5456 5952 7936 8184 8448 10594 10912 11904 15891 16368 21188 21824 23808 31782 32736 42376 43648 58267 63564 65472 84752 87296 116534 127128 130944 164207 169504 174801 233068 254256 261888 328414 339008 349602 466136 492621 508512 656828 678016 699204 932272 985242 1017024 1313656 1356032 1398408 1806277 1864544 1970484 2034048 2627312 2796816 3612554 3729088 3940968 4068096 5254624 5418831 5593632 7225108 7458176 7881936 10509248 10837662 11187264 14450216 14916352 15763872 21018496 21675324 22374528 28900432 31527744 42036992 43350648 44749056 57800864 63055488 86701296 115601728 126110976 173402592 231203456 346805184 462406912 693610368 1387220736