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30102516 = 2234531753
BaseRepresentation
bin111001011010…
…1001111110100
32002122100220000
41302311033310
530201240031
62553111300
7513603303
oct162651764
962570800
1030102516
1115aa0514
12a0b8530
13630c852
143dd843a
1529993e6
hex1cb53f4

30102516 has 60 divisors (see below), whose sum is σ = 80224452. Its totient is φ = 9839232.

The previous prime is 30102511. The next prime is 30102521. The reversal of 30102516 is 61520103.

It is an interprime number because it is at equal distance from previous prime (30102511) and next prime (30102521).

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 20738916 = 3060^2 + 4554^2 .

It is a super-2 number, since 2×301025162 = 1812322939060512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30102511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16296 + ... + 18048.

Almost surely, 230102516 is an apocalyptic number.

30102516 is a gapful number since it is divisible by the number (36) 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 30102516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40112226).

30102516 is an abundant number, since it is smaller than the sum of its proper divisors (50121936).

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

30102516 is a wasteful number, since it uses less digits than its factorization.

30102516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 30102516 is about 5486.5759814296. The cubic root of 30102516 is about 311.0767827013.

Adding to 30102516 its reverse (61520103), we get a palindrome (91622619).

The spelling of 30102516 in words is "thirty million, one hundred two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1753 1908 2862 3506 4293 5259 5724 7012 8586 10518 15777 17172 21036 31554 47331 63108 92909 94662 141993 185818 189324 278727 283986 371636 557454 567972 836181 1114908 1672362 2508543 3344724 5017086 7525629 10034172 15051258 30102516