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2040504102 = 2337132411723
BaseRepresentation
bin111100110011111…
…1001111100100110
312021012120100102000
41321213321330212
513134332112402
6534251030130
7101364666360
oct17147717446
95235510360
102040504102
119578a1a2a
1248b43b346
132669894a0
14154dddd30
15be213c1c
hex799f9f26

2040504102 has 128 divisors (see below), whose sum is σ = 5607275520. Its totient is φ = 535610880.

The previous prime is 2040504091. The next prime is 2040504131. The reversal of 2040504102 is 2014050402.

2040504102 is a `hidden beast` number, since 20 + 40 + 504 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1183413 + ... + 1185135.

It is an arithmetic number, because the mean of its divisors is an integer number (43806840).

Almost surely, 22040504102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040504102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803637760).

2040504102 is an abundant number, since it is smaller than the sum of its proper divisors (3566771418).

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

2040504102 is a wasteful number, since it uses less digits than its factorization.

2040504102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2040504102 is about 45171.9393207775. The cubic root of 2040504102 is about 1268.3695989756.

Adding to 2040504102 its reverse (2014050402), we get a palindrome (4054554504).

The spelling of 2040504102 in words is "two billion, forty million, five hundred four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 241 273 351 378 482 546 702 723 819 1446 1638 1687 1723 2169 2457 3133 3374 3446 4338 4914 5061 5169 6266 6507 9399 10122 10338 12061 13014 15183 15507 18798 21931 22399 24122 28197 30366 31014 36183 43862 44798 45549 46521 56394 65793 67197 72366 84591 91098 93042 108549 131586 134394 156793 169182 197379 201591 217098 313586 325647 394758 403182 415243 470379 592137 604773 651294 830486 940758 1184274 1209546 1245729 1411137 2491458 2822274 2906701 3737187 4233411 5398159 5813402 7474374 8466822 8720103 10796318 11211561 16194477 17440206 22423122 26160309 32388954 37787113 48583431 52320618 75574226 78480927 97166862 113361339 145750293 156961854 226722678 291500586 340084017 680168034 1020252051 2040504102