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1378100052 = 223275921571
BaseRepresentation
bin101001000100100…
…0010001101010100
310120001010201212200
41102021002031110
510310243200202
6344425244500
746102441260
oct12211021524
93501121780
101378100052
116479a0a6a
12325633730
1318c681624
14d10510a0
1580ebae1c
hex52242354

1378100052 has 108 divisors (see below), whose sum is σ = 4052377056. Its totient is φ = 386822880.

The previous prime is 1378100041. The next prime is 1378100089. The reversal of 1378100052 is 2500018731.

It is a junction number, because it is equal to n+sod(n) for n = 1378099989 and 1378100025.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 876427 + ... + 877997.

Almost surely, 21378100052 is an apocalyptic number.

1378100052 is a gapful number since it is divisible by the number (12) 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 1378100052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026188528).

1378100052 is an abundant number, since it is smaller than the sum of its proper divisors (2674277004).

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

1378100052 is a wasteful number, since it uses less digits than its factorization.

1378100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1378100052 is about 37122.7699936306. The cubic root of 1378100052 is about 1112.8251094100.

Adding to 1378100052 its reverse (2500018731), we get a palindrome (3878118783).

The spelling of 1378100052 in words is "one billion, three hundred seventy-eight million, one hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1571 1652 2124 2478 3142 3481 3717 4713 4956 6284 6962 7434 9426 10443 10997 13924 14139 14868 18852 20886 21994 24367 28278 31329 32991 41772 43988 48734 56556 62658 65982 73101 92689 97468 98973 125316 131964 146202 185378 197946 219303 278067 292404 370756 395892 438606 556134 648823 834201 877212 1112268 1297646 1668402 1946469 2595292 3336804 3892938 5468651 5839407 7785876 10937302 11678814 16405953 21874604 23357628 32811906 38280557 49217859 65623812 76561114 98435718 114841671 153122228 196871436 229683342 344525013 459366684 689050026 1378100052