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4270981120 = 21757319
BaseRepresentation
bin1111111010010010…
…0000000000000000
3102000122121022122221
43332210200000000
532221332343440
61543445540424
7210560512000
oct37644400000
912018538587
104270981120
1118a194836a
129b2414714
13530acbc83
142c7332000
1519ee50d4a
hexfe920000

4270981120 has 288 divisors, whose sum is σ = 12582864000. Its totient is φ = 1387266048.

The previous prime is 4270981087. The next prime is 4270981123. The reversal of 4270981120 is 211890724.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270981123) 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, 224788471 + ... + 224788489.

It is an arithmetic number, because the mean of its divisors is an integer number (43690500).

Almost surely, 24270981120 is an apocalyptic number.

4270981120 is a gapful number since it is divisible by the number (40) 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 4270981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291432000).

4270981120 is an abundant number, since it is smaller than the sum of its proper divisors (8311882880).

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

4270981120 is an frugal number, since it uses more digits than its factorization.

4270981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 4270981120 is about 65352.7437832567. The cubic root of 4270981120 is about 1622.4670433309.

The spelling of 4270981120 in words is "four billion, two hundred seventy million, nine hundred eighty-one thousand, one hundred twenty".