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51105054 = 237111367127
BaseRepresentation
bin1100001011110…
…0110100011110
310120011101221210
43002330310132
5101040330204
65023205250
71160246220
oct302746436
9116141853
1051105054
1126935a90
1215146826
13a7843a0
146b04410
154747389
hex30bcd1e

51105054 has 128 divisors (see below), whose sum is σ = 140378112. Its totient is φ = 11975040.

The previous prime is 51105053. The next prime is 51105059. The reversal of 51105054 is 45050115.

It is a super-2 number, since 2×511050542 = 5223453088685832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 51105054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51105053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402339 + ... + 402465.

It is an arithmetic number, because the mean of its divisors is an integer number (1096704).

Almost surely, 251105054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51105054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70189056).

51105054 is an abundant number, since it is smaller than the sum of its proper divisors (89273058).

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

51105054 is a wasteful number, since it uses less digits than its factorization.

51105054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 51105054 is about 7148.7798958983. The cubic root of 51105054 is about 371.0974332578.

Adding to 51105054 its reverse (45050115), we get a palindrome (96155169).

The spelling of 51105054 in words is "fifty-one million, one hundred five thousand, fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 67 77 78 91 127 134 143 154 182 201 231 254 273 286 381 402 429 462 469 546 737 762 858 871 889 938 1001 1397 1407 1474 1651 1742 1778 2002 2211 2613 2667 2794 2814 3003 3302 4191 4422 4953 5159 5226 5334 6006 6097 8382 8509 9581 9779 9906 10318 11557 12194 15477 17018 18161 18291 19162 19558 23114 25527 28743 29337 30954 34671 36322 36582 51054 54483 57486 58674 59563 67067 69342 93599 108966 110617 119126 127127 134134 178689 187198 201201 221234 254254 280797 331851 357378 381381 402402 561594 655193 663702 762762 774319 1216787 1310386 1548638 1965579 2322957 2433574 3650361 3931158 4645914 7300722 8517509 17035018 25552527 51105054