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30141524 = 22719531069
BaseRepresentation
bin111001011111…
…0110001010100
32002201100101202
41302332301110
530204012044
62554012032
7514125110
oct162766124
962640352
1030141524
1116017856
12a117018
13632452a
144008740
1529a5c4e
hex1cbec54

30141524 has 48 divisors (see below), whose sum is σ = 64713600. Its totient is φ = 11995776.

The previous prime is 30141509. The next prime is 30141539. The reversal of 30141524 is 42514103.

It is an interprime number because it is at equal distance from previous prime (30141509) and next prime (30141539).

It is a super-2 number, since 2×301415242 = 1817022938085152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30141496 and 30141505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27662 + ... + 28730.

It is an arithmetic number, because the mean of its divisors is an integer number (1348200).

Almost surely, 230141524 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 30141524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32356800).

30141524 is an abundant number, since it is smaller than the sum of its proper divisors (34572076).

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

30141524 is a wasteful number, since it uses less digits than its factorization.

30141524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 30141524 is about 5490.1296888143. The cubic root of 30141524 is about 311.2110931298.

Adding to 30141524 its reverse (42514103), we get a palindrome (72655627).

The spelling of 30141524 in words is "thirty million, one hundred forty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 371 532 742 1007 1069 1484 2014 2138 4028 4276 7049 7483 14098 14966 20311 28196 29932 40622 56657 81244 113314 142177 226628 284354 396599 568708 793198 1076483 1586396 2152966 4305932 7535381 15070762 30141524