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5672205520 = 245137673769
BaseRepresentation
bin1010100100001011…
…01111110011010000
3112122022020220011221
411102011233303100
543104041034040
62334503014424
7260363644222
oct52205576320
915568226157
105672205520
1124508a2a63
12112373a414
136c51b8b37
143bb482412
15232e8874a
hex15216fcd0

5672205520 has 80 divisors (see below), whose sum is σ = 13321178640. Its totient is φ = 2246049792.

The previous prime is 5672205503. The next prime is 5672205523. The reversal of 5672205520 is 255022765.

It can be written as a sum of positive squares in 8 ways, for example, as 162409536 + 5509795984 = 12744^2 + 74228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×56722055202 = 64347830922236940800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672205523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7375696 + ... + 7376464.

It is an arithmetic number, because the mean of its divisors is an integer number (166514733).

Almost surely, 25672205520 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 5672205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660589320).

5672205520 is an abundant number, since it is smaller than the sum of its proper divisors (7648973120).

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

5672205520 is a wasteful number, since it uses less digits than its factorization.

5672205520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 5672205520 is about 75314.0459675352. The cubic root of 5672205520 is about 1783.4077628896.

The spelling of 5672205520 in words is "five billion, six hundred seventy-two million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 673 685 769 1096 1346 1370 1538 2192 2692 2740 3076 3365 3845 5384 5480 6152 6730 7690 10768 10960 12304 13460 15380 26920 30760 53840 61520 92201 105353 184402 210706 368804 421412 461005 517537 526765 737608 842824 922010 1035074 1053530 1475216 1685648 1844020 2070148 2107060 2587685 3688040 4140296 4214120 5175370 7376080 8280592 8428240 10350740 20701480 41402960 70902569 141805138 283610276 354512845 567220552 709025690 1134441104 1418051380 2836102760 5672205520