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7060500040 = 2351127012081
BaseRepresentation
bin1101001001101011…
…01010111001001000
3200020001120120020111
412210311222321020
5103424442000130
63124335004104
7336652155136
oct64465527110
920201516214
107060500040
112aa3517200
121450669634
138869c9699
144ad9c8756
152b4cba02a
hex1a4d6ae48

7060500040 has 96 divisors (see below), whose sum is σ = 17494921080. Its totient is φ = 2562560000.

The previous prime is 7060500019. The next prime is 7060500059. The reversal of 7060500040 is 400050607.

It can be written as a sum of positive squares in 4 ways, for example, as 6353046436 + 707453604 = 79706^2 + 26598^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 7060499984 and 7060500020.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391800 + ... + 3393880.

Almost surely, 27060500040 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 7060500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747460540).

7060500040 is an abundant number, since it is smaller than the sum of its proper divisors (10434421040).

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

7060500040 is a wasteful number, since it uses less digits than its factorization.

7060500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7060500040 is about 84026.7816829849. The cubic root of 7060500040 is about 1918.4264487277.

Adding to 7060500040 its reverse (400050607), we get a palindrome (7460550647).

The spelling of 7060500040 in words is "seven billion, sixty million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 701 968 1210 1402 2081 2420 2804 3505 4162 4840 5608 7010 7711 8324 10405 14020 15422 16648 20810 22891 28040 30844 38555 41620 45782 61688 77110 83240 84821 91564 114455 154220 169642 183128 228910 251801 308440 339284 424105 457820 503602 678568 848210 915640 1007204 1259005 1458781 1696420 2014408 2518010 2917562 3392840 5036020 5835124 7293905 10072040 11670248 14587810 16046591 29175620 32093182 58351240 64186364 80232955 128372728 160465910 176512501 320931820 353025002 641863640 706050004 882562505 1412100008 1765125010 3530250020 7060500040