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1230056672 = 25134796173
BaseRepresentation
bin100100101010001…
…0010110011100000
310011201120100112112
41021110102303200
510004343303142
6322020214452
742324211025
oct11124226340
93151510475
101230056672
11581375869
122a3b3a428
13167ab91b0
14b951554c
1572ec6382
hex49512ce0

1230056672 has 48 divisors (see below), whose sum is σ = 2613824640. Its totient is φ = 566441472.

The previous prime is 1230056671. The next prime is 1230056677. The reversal of 1230056672 is 2766500321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230056671) 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, 196178 + ... + 202350.

It is an arithmetic number, because the mean of its divisors is an integer number (54454680).

Almost surely, 21230056672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306912320).

1230056672 is an abundant number, since it is smaller than the sum of its proper divisors (1383767968).

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

1230056672 is a wasteful number, since it uses less digits than its factorization.

1230056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1230056672 is about 35072.1637769899. The cubic root of 1230056672 is about 1071.4577249176.

Adding to 1230056672 its reverse (2766500321), we get a palindrome (3996556993).

The spelling of 1230056672 in words is "one billion, two hundred thirty million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 479 958 1916 3832 6173 6227 7664 12346 12454 15328 24692 24908 49384 49816 80249 98768 99632 160498 197536 199264 320996 641992 1283984 2567968 2956867 5913734 11827468 23654936 38439271 47309872 76878542 94619744 153757084 307514168 615028336 1230056672