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1030383072 = 253319232729
BaseRepresentation
bin111101011010100…
…110010111100000
32122210211212212000
4331122212113200
54102234224242
6250124404000
734351053165
oct7532462740
92583755760
101030383072
11489696064
122490a6600
13135617634
149abba06c
15606d3a4c
hex3d6a65e0

1030383072 has 192 divisors, whose sum is σ = 3302208000. Its totient is φ = 311122944.

The previous prime is 1030383061. The next prime is 1030383083. The reversal of 1030383072 is 2703830301.

It is an interprime number because it is at equal distance from previous prime (1030383061) and next prime (1030383083).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 376204 + ... + 378932.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 21030383072 is an apocalyptic number.

1030383072 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 1030383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

1030383072 is an abundant number, since it is smaller than the sum of its proper divisors (2271824928).

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

1030383072 is a wasteful number, since it uses less digits than its factorization.

1030383072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1030383072 is about 32099.5805580073. The cubic root of 1030383072 is about 1010.0268175737.

The spelling of 1030383072 in words is "one billion, thirty million, three hundred eighty-three thousand, seventy-two".