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30100416 = 263211743
BaseRepresentation
bin111001011010…
…0101111000000
32002122021000020
41302310233000
530201203131
62553053440
7513564213
oct162645700
962567006
1030100416
1115a99985
12a0b7280
13630b8c8
143dd777a
152998996
hex1cb4bc0

30100416 has 56 divisors (see below), whose sum is σ = 80125824. Its totient is φ = 9972480.

The previous prime is 30100409. The next prime is 30100417. The reversal of 30100416 is 61400103.

It is a junction number, because it is equal to n+sod(n) for n = 30100395 and 30100404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30100417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40141 + ... + 40883.

Almost surely, 230100416 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 30100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40062912).

30100416 is an abundant number, since it is smaller than the sum of its proper divisors (50025408).

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

30100416 is a wasteful number, since it uses less digits than its factorization.

30100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 30100416 is about 5486.3846019032. The cubic root of 30100416 is about 311.0695487940.

Adding to 30100416 its reverse (61400103), we get a palindrome (91500519).

The spelling of 30100416 in words is "thirty million, one hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 743 844 1266 1486 1688 2229 2532 2972 3376 4458 5064 5944 6752 8916 10128 11888 13504 17832 20256 23776 35664 40512 47552 71328 142656 156773 313546 470319 627092 940638 1254184 1881276 2508368 3762552 5016736 7525104 10033472 15050208 30100416