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1229940432 = 243275920681
BaseRepresentation
bin100100101001111…
…0110011011010000
310011201100110002100
41021103312123100
510004331043212
6322013520400
742323215110
oct11123663320
93151313070
101229940432
115812a64a6
122a3aa3100
13167a78306
14b94c5040
1572ea1bdc
hex494f66d0

1229940432 has 120 divisors (see below), whose sum is σ = 4000726080. Its totient is φ = 345438720.

The previous prime is 1229940409. The next prime is 1229940443. The reversal of 1229940432 is 2340499221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49132 + ... + 69812.

It is an arithmetic number, because the mean of its divisors is an integer number (33339384).

Almost surely, 21229940432 is an apocalyptic number.

1229940432 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 1229940432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000363040).

1229940432 is an abundant number, since it is smaller than the sum of its proper divisors (2770785648).

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

1229940432 is a wasteful number, since it uses less digits than its factorization.

1229940432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20761 (or 20752 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1229940432 is about 35070.5065831676. The cubic root of 1229940432 is about 1071.4239730393.

The spelling of 1229940432 in words is "one billion, two hundred twenty-nine million, nine hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 20681 29736 41362 59472 62043 82724 124086 144767 165448 186129 248172 289534 330896 372258 434301 496344 579068 744516 868602 992688 1158136 1220179 1302903 1489032 1737204 2316272 2440358 2605806 2978064 3474408 3660537 4880716 5211612 6948816 7321074 8541253 9761432 10423224 10981611 14642148 17082506 19522864 20846448 21963222 25623759 29284296 34165012 43926444 51247518 58568592 68330024 76871277 87852888 102495036 136660048 153742554 175705776 204990072 307485108 409980144 614970216 1229940432