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1230025440 = 25357331241
BaseRepresentation
bin100100101010000…
…1011001011100000
310011201111202200210
41021110023023200
510004341303230
6322015414120
742324021000
oct11124131340
93151452623
101230025440
11581354356
122a3b24340
13167aa7c07
14b9508000
1572ebbeb0
hex4950b2e0

1230025440 has 384 divisors, whose sum is σ = 4683571200. Its totient is φ = 270950400.

The previous prime is 1230025403. The next prime is 1230025481. The reversal of 1230025440 is 445200321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5103720 + ... + 5103960.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 21230025440 is an apocalyptic number.

1230025440 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 1230025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341785600).

1230025440 is an abundant number, since it is smaller than the sum of its proper divisors (3453545760).

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

1230025440 is a wasteful number, since it uses less digits than its factorization.

1230025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1230025440 is about 35071.7185207683. The cubic root of 1230025440 is about 1071.4486564870.

Adding to 1230025440 its reverse (445200321), we get a palindrome (1675225761).

The spelling of 1230025440 in words is "one billion, two hundred thirty million, twenty-five thousand, four hundred forty".