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30075672 = 23311373079
BaseRepresentation
bin111001010111…
…0101100011000
32002121000001210
41302232230120
530144410142
62552343120
7513432114
oct162565430
962530053
1030075672
1115a82330
12a0a4aa0
136300573
143dcc744
15299149c
hex1caeb18

30075672 has 64 divisors (see below), whose sum is σ = 84268800. Its totient is φ = 8864640.

The previous prime is 30075649. The next prime is 30075677. The reversal of 30075672 is 27657003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30075677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229 + ... + 11307.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 230075672 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 30075672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42134400).

30075672 is an abundant number, since it is smaller than the sum of its proper divisors (54193128).

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

30075672 is a wasteful number, since it uses less digits than its factorization.

30075672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 30075672 is about 5484.1291013250. The cubic root of 30075672 is about 310.9842873477.

The spelling of 30075672 in words is "thirty million, seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3079 3256 4884 6158 9237 9768 12316 18474 24632 33869 36948 67738 73896 101607 113923 135476 203214 227846 270952 341769 406428 455692 683538 812856 911384 1253153 1367076 2506306 2734152 3759459 5012612 7518918 10025224 15037836 30075672