Search a number
-
+
1070274816 = 28331343277
BaseRepresentation
bin111111110010110…
…001100100000000
32202120220121001000
4333302301210000
54142442243231
6254111412000
735344120512
oct7762614400
92676817030
101070274816
114aa162346
1225a524000
13140973b10
14a2201bb2
1563e636e6
hex3fcb1900

1070274816 has 288 divisors, whose sum is σ = 3500309120. Its totient is φ = 320495616.

The previous prime is 1070274787. The next prime is 1070274833. The reversal of 1070274816 is 6184720701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10702748162 = 2290976363527667712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863670 + ... + 3863946.

Almost surely, 21070274816 is an apocalyptic number.

1070274816 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 1070274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750154560).

1070274816 is an abundant number, since it is smaller than the sum of its proper divisors (2430034304).

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

1070274816 is a wasteful number, since it uses less digits than its factorization.

1070274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1070274816 is about 32715.0548830351. The cubic root of 1070274816 is about 1022.8966794802.

The spelling of 1070274816 in words is "one billion, seventy million, two hundred seventy-four thousand, eight hundred sixteen".