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1076238072 = 2332713277593
BaseRepresentation
bin100000000100110…
…0001011011111000
32210000010120002100
41000021201123320
54201004104242
6254443303400
735445605220
oct10011413370
92700116070
101076238072
11502565658
1226051ab60
13141c81180
14a2d15080
156474054c
hex402616f8

1076238072 has 192 divisors, whose sum is σ = 3606482880. Its totient is φ = 282341376.

The previous prime is 1076238061. The next prime is 1076238073. The reversal of 1076238072 is 2708326701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076238073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814608 + ... + 1815200.

It is an arithmetic number, because the mean of its divisors is an integer number (18783765).

Almost surely, 21076238072 is an apocalyptic number.

1076238072 is a gapful number since it is divisible by the number (12) 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 1076238072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803241440).

1076238072 is an abundant number, since it is smaller than the sum of its proper divisors (2530244808).

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

1076238072 is a wasteful number, since it uses less digits than its factorization.

1076238072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1076238072 is about 32806.0676095139. The cubic root of 1076238072 is about 1024.7929217207.

The spelling of 1076238072 in words is "one billion, seventy-six million, two hundred thirty-eight thousand, seventy-two".