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1386054208 = 267111372053
BaseRepresentation
bin101001010011101…
…1000001001000000
310120121002211221001
41102213120021000
510314312213313
6345311541344
746230160240
oct12247301100
93517084831
101386054208
11651434050
1232822a854
13191207c26
14d2121b20
1581a3cadd
hex529d8240

1386054208 has 112 divisors (see below), whose sum is σ = 3455846784. Its totient is φ = 535818240.

The previous prime is 1386054191. The next prime is 1386054223. The reversal of 1386054208 is 8024506831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13860542082 = 3842292535029014528, which contains 22 as substring.

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, 674110 + ... + 676162.

Almost surely, 21386054208 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 1386054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727923392).

1386054208 is an abundant number, since it is smaller than the sum of its proper divisors (2069792576).

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

1386054208 is a wasteful number, since it uses less digits than its factorization.

1386054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1386054208 is about 37229.7489650414. The cubic root of 1386054208 is about 1114.9620149674.

The spelling of 1386054208 in words is "one billion, three hundred eighty-six million, fifty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 137 154 176 224 274 308 352 448 548 616 704 959 1096 1232 1507 1918 2053 2192 2464 3014 3836 4106 4384 4928 6028 7672 8212 8768 10549 12056 14371 15344 16424 21098 22583 24112 28742 30688 32848 42196 45166 48224 57484 61376 65696 84392 90332 96448 114968 131392 158081 168784 180664 229936 281261 316162 337568 361328 459872 562522 632324 675136 722656 919744 1125044 1264648 1445312 1968827 2250088 2529296 3093871 3937654 4500176 5058592 6187742 7875308 9000352 10117184 12375484 15750616 18000704 21657097 24750968 31501232 43314194 49501936 63002464 86628388 99003872 126004928 173256776 198007744 346513552 693027104 1386054208