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3520150020 = 2232523383933
BaseRepresentation
bin1101000111010001…
…0011101000000100
3100002022210011000200
43101310103220010
524202124300040
61341145010500
7153142532022
oct32164235004
910068704020
103520150020
11154703a8a2
12822a83a30
134413a310a
14255725712
1515908c630
hexd1d13a04

3520150020 has 72 divisors (see below), whose sum is σ = 10723743576. Its totient is φ = 934666752.

The previous prime is 3520150001. The next prime is 3520150021. The reversal of 3520150020 is 200510253.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 391090176 + 3129059844 = 19776^2 + 55938^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3520149975 and 3520150002.

It is not an unprimeable number, because it can be changed into a prime (3520150021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27 + ... + 83906.

It is an arithmetic number, because the mean of its divisors is an integer number (148940883).

Almost surely, 23520150020 is an apocalyptic number.

3520150020 is a gapful number since it is divisible by the number (30) 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 3520150020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361871788).

3520150020 is an abundant number, since it is smaller than the sum of its proper divisors (7203593556).

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

3520150020 is a wasteful number, since it uses less digits than its factorization.

3520150020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84181 (or 84176 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3520150020 is about 59330.8521765868. The cubic root of 3520150020 is about 1521.2025945630.

Adding to 3520150020 its reverse (200510253), we get a palindrome (3720660273).

The spelling of 3520150020 in words is "three billion, five hundred twenty million, one hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6990 8388 10485 13980 20970 41940 83933 167866 251799 335732 419665 503598 755397 839330 1007196 1258995 1510794 1678660 2517990 3021588 3776985 5035980 7553970 15107940 19556389 39112778 58669167 78225556 97781945 117338334 176007501 195563890 234676668 293345835 352015002 391127780 586691670 704030004 880037505 1173383340 1760075010 3520150020