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30027237240 = 233572111324167
BaseRepresentation
bin11011111101110000…
…110100011101111000
32212111122112200211210
4123331300310131320
5442443433042430
621443323523120
72112050206500
oct337560643570
985448480753
1030027237240
1111809657850
1259a00894a0
132aa6c10700
14164bcd8a00
15bab2092b0
hex6fdc34778

30027237240 has 1152 divisors, whose sum is σ = 128696843520. Its totient is φ = 5535129600.

The previous prime is 30027237239. The next prime is 30027237257. The reversal of 30027237240 is 4273272003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30027237198 and 30027237207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 448167687 + ... + 448167753.

It is an arithmetic number, because the mean of its divisors is an integer number (111716010).

Almost surely, 230027237240 is an apocalyptic number.

30027237240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30027237240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64348421760).

30027237240 is an abundant number, since it is smaller than the sum of its proper divisors (98669606280).

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

30027237240 is a wasteful number, since it uses less digits than its factorization.

30027237240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The spelling of 30027237240 in words is "thirty billion, twenty-seven million, two hundred thirty-seven thousand, two hundred forty".