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1630104520 = 2351119918617
BaseRepresentation
bin110000100101001…
…0110101111001000
311012121022220000111
41201022112233020
511314301321040
6425430444104
755252442212
oct14112265710
94177286014
101630104520
11767173720
12395b03634
131cc9464b5
141166cd5b2
1598198dea
hex61296bc8

1630104520 has 64 divisors (see below), whose sum is σ = 4021488000. Its totient is φ = 589754880.

The previous prime is 1630104499. The next prime is 1630104521. The reversal of 1630104520 is 254010361.

It is a super-2 number, since 2×16301045202 = 5314481492248860800, which contains 22 as substring.

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 = 1630104491 and 1630104500.

It is not an unprimeable number, because it can be changed into a prime (1630104521) 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, 78252 + ... + 96868.

It is an arithmetic number, because the mean of its divisors is an integer number (62835750).

Almost surely, 21630104520 is an apocalyptic number.

1630104520 is a gapful number since it is divisible by the number (10) 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 1630104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010744000).

1630104520 is an abundant number, since it is smaller than the sum of its proper divisors (2391383480).

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

1630104520 is a wasteful number, since it uses less digits than its factorization.

1630104520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1630104520 is about 40374.5528767812. The cubic root of 1630104520 is about 1176.8970760967.

Adding to 1630104520 its reverse (254010361), we get a palindrome (1884114881).

The spelling of 1630104520 in words is "one billion, six hundred thirty million, one hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 199 220 398 440 796 995 1592 1990 2189 3980 4378 7960 8756 10945 17512 18617 21890 37234 43780 74468 87560 93085 148936 186170 204787 372340 409574 744680 819148 1023935 1638296 2047870 3704783 4095740 7409566 8191480 14819132 18523915 29638264 37047830 40752613 74095660 81505226 148191320 163010452 203763065 326020904 407526130 815052260 1630104520