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30972928 = 210729149
BaseRepresentation
bin111011000100…
…1110000000000
32011021120212111
41312021300000
530412113203
63023505104
7524160040
oct166116000
964246774
1030972928
1116535468
12a458194
136555a9c
144183720
152abc26d
hex1d89c00

30972928 has 88 divisors (see below), whose sum is σ = 73692000. Its totient is φ = 12730368.

The previous prime is 30972919. The next prime is 30972947. The reversal of 30972928 is 82927903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207798 + ... + 207946.

Almost surely, 230972928 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 30972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36846000).

30972928 is an abundant number, since it is smaller than the sum of its proper divisors (42719072).

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

30972928 is a wasteful number, since it uses less digits than its factorization.

30972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 30972928 is about 5565.3326944577. The cubic root of 30972928 is about 314.0465940296.

It can be divided in two parts, 309 and 72928, that added together give a palindrome (73237).

The spelling of 30972928 in words is "thirty million, nine hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 149 203 224 232 256 298 406 448 464 512 596 812 896 928 1024 1043 1192 1624 1792 1856 2086 2384 3248 3584 3712 4172 4321 4768 6496 7168 7424 8344 8642 9536 12992 14848 16688 17284 19072 25984 29696 30247 33376 34568 38144 51968 60494 66752 69136 76288 103936 120988 133504 138272 152576 207872 241976 267008 276544 483952 534016 553088 967904 1068032 1106176 1935808 2212352 3871616 4424704 7743232 15486464 30972928