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30076272 = 2434231009
BaseRepresentation
bin111001010111…
…0110101110000
32002121000220000
41302232311300
530144420042
62552350000
7513433632
oct162566560
962530800
1030076272
1115a82826
12a0a5300
136300915
143dcca52
15299174c
hex1caed70

30076272 has 100 divisors (see below), whose sum is σ = 90924240. Its totient is φ = 9580032.

The previous prime is 30076229. The next prime is 30076279. The reversal of 30076272 is 27267003.

30076272 is a `hidden beast` number, since 30 + 0 + 7 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30076279) 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, 29304 + ... + 30312.

Almost surely, 230076272 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 30076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45462120).

30076272 is an abundant number, since it is smaller than the sum of its proper divisors (60847968).

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

30076272 is a wasteful number, since it uses less digits than its factorization.

30076272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 30076272 is about 5484.1838043596. The cubic root of 30076272 is about 310.9863553461.

The spelling of 30076272 in words is "thirty million, seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1009 1104 1242 1296 1656 1863 2018 2484 3027 3312 3726 4036 4968 6054 7452 8072 9081 9936 12108 14904 16144 18162 23207 24216 27243 29808 36324 46414 48432 54486 69621 72648 81729 92828 108972 139242 145296 163458 185656 208863 217944 278484 326916 371312 417726 435888 556968 626589 653832 835452 1113936 1253178 1307664 1670904 1879767 2506356 3341808 3759534 5012712 7519068 10025424 15038136 30076272