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1230004032 = 26328322637
BaseRepresentation
bin100100101010000…
…0101111101000000
310011201110200022220
41021110011331000
510004340112112
6322015131040
742323601405
oct11124057500
93151420286
101230004032
1158133a264
122a3b13a80
13167a9b24a
14b95002ac
1572eb598c
hex49505f40

1230004032 has 56 divisors (see below), whose sum is σ = 3266029536. Its totient is φ = 408534528.

The previous prime is 1230004001. The next prime is 1230004037. The reversal of 1230004032 is 2304000321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230004037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43018 + ... + 65654.

It is an arithmetic number, because the mean of its divisors is an integer number (58321956).

Almost surely, 21230004032 is an apocalyptic number.

1230004032 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 1230004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633014768).

1230004032 is an abundant number, since it is smaller than the sum of its proper divisors (2036025504).

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

1230004032 is a wasteful number, since it uses less digits than its factorization.

1230004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22935 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1230004032 is about 35071.4133162609. The cubic root of 1230004032 is about 1071.4424404351.

Adding to 1230004032 its reverse (2304000321), we get a palindrome (3534004353).

The spelling of 1230004032 in words is "one billion, two hundred thirty million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1698 2264 3396 4528 6792 9056 13584 18112 22637 27168 45274 54336 67911 90548 135822 181096 271644 362192 543288 724384 1086576 1448768 2173152 4346304 6406271 12812542 19218813 25625084 38437626 51250168 76875252 102500336 153750504 205000672 307501008 410001344 615002016 1230004032