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1075147920 = 2432571124143
BaseRepresentation
bin100000000010101…
…0111010010010000
32202221002011200100
41000011113102100
54200214213140
6254404052400
735433415020
oct10005272220
92687064610
101075147920
11501990600
12260094100
1314198bc02
14a2b0da80
15645c7530
hex40157490

1075147920 has 720 divisors, whose sum is σ = 4754445696. Its totient is φ = 212889600.

The previous prime is 1075147883. The next prime is 1075147933. The reversal of 1075147920 is 297415701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 25003419 + ... + 25003461.

Almost surely, 21075147920 is an apocalyptic number.

1075147920 is a gapful number since it is divisible by the number (10) 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 1075147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377222848).

1075147920 is an abundant number, since it is smaller than the sum of its proper divisors (3679297776).

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

1075147920 is a wasteful number, since it uses less digits than its factorization.

1075147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1075147920 is about 32789.4483027696. The cubic root of 1075147920 is about 1024.4467909087.

The spelling of 1075147920 in words is "one billion, seventy-five million, one hundred forty-seven thousand, nine hundred twenty".