Search a number
-
+
30146116 = 22711137529
BaseRepresentation
bin111001011111…
…1111001000100
32002201120200211
41302333321010
530204133431
62554045204
7514144360
oct162777104
962646624
1030146116
1116020250
12a119804
136326650
14400a2a0
1529a72b1
hex1cbfe44

30146116 has 48 divisors (see below), whose sum is σ = 70842240. Its totient is φ = 10840320.

The previous prime is 30146099. The next prime is 30146119. The reversal of 30146116 is 61164103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (30146119) 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, 240 + ... + 7768.

It is an arithmetic number, because the mean of its divisors is an integer number (1475880).

Almost surely, 230146116 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 30146116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35421120).

30146116 is an abundant number, since it is smaller than the sum of its proper divisors (40696124).

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

30146116 is a wasteful number, since it uses less digits than its factorization.

30146116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 30146116 is about 5490.5478779444. The cubic root of 30146116 is about 311.2268964534.

The spelling of 30146116 in words is "thirty million, one hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 7529 15058 30116 52703 82819 97877 105406 165638 195754 210812 331276 391508 579733 685139 1076647 1159466 1370278 2153294 2318932 2740556 4306588 7536529 15073058 30146116