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1126232640 = 263351337271
BaseRepresentation
bin100001100100000…
…1111001001000000
32220111012112202000
41003020033021000
54301303421030
6303431024000
736623551041
oct10310171100
92814175660
101126232640
11528802285
1227520b000
1314c436c60
14a980a8c8
1568d18860
hex4320f240

1126232640 has 448 divisors, whose sum is σ = 4410577920. Its totient is φ = 268738560.

The previous prime is 1126232633. The next prime is 1126232647. The reversal of 1126232640 is 462326211.

1126232640 is a `hidden beast` number, since 1 + 12 + 6 + 2 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1126232633) and next prime (1126232647).

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

It is not an unprimeable number, because it can be changed into a prime (1126232647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4155705 + ... + 4155975.

It is an arithmetic number, because the mean of its divisors is an integer number (9845040).

Almost surely, 21126232640 is an apocalyptic number.

1126232640 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 1126232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205288960).

1126232640 is an abundant number, since it is smaller than the sum of its proper divisors (3284345280).

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

1126232640 is a wasteful number, since it uses less digits than its factorization.

1126232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1126232640 is about 33559.3897441536. The cubic root of 1126232640 is about 1040.4216239191.

Adding to 1126232640 its reverse (462326211), we get a palindrome (1588558851).

The spelling of 1126232640 in words is "one billion, one hundred twenty-six million, two hundred thirty-two thousand, six hundred forty".