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1270204416 = 21134131931
BaseRepresentation
bin100101110110101…
…1100100000000000
310021112010001220000
41023231130200000
510100133020131
6330012520000
743322362605
oct11355344000
93245101800
101270204416
115a1aa7418
122b5480000
13173205060
14c09a66ac
15767a6ce6
hex4bb5c800

1270204416 has 480 divisors, whose sum is σ = 4439635200. Its totient is φ = 358318080.

The previous prime is 1270204409. The next prime is 1270204421. The reversal of 1270204416 is 6144020721.

It is a super-2 number, since 2×12702044162 = 3226838516851802112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1270204416.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40974321 + ... + 40974351.

It is an arithmetic number, because the mean of its divisors is an integer number (9249240).

Almost surely, 21270204416 is an apocalyptic number.

1270204416 is a gapful number since it is divisible by the number (16) 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 1270204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219817600).

1270204416 is an abundant number, since it is smaller than the sum of its proper divisors (3169430784).

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

1270204416 is a wasteful number, since it uses less digits than its factorization.

1270204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1270204416 is about 35639.9272726531. The cubic root of 1270204416 is about 1082.9902317241.

The spelling of 1270204416 in words is "one billion, two hundred seventy million, two hundred four thousand, four hundred sixteen".