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23478768 = 24331723139
BaseRepresentation
bin101100110010…
…0000111110000
31122011211211000
41121210013300
522002310033
62155122000
7403365135
oct131440760
948154730
1023478768
1112286a45
127a43300
134b30981
14319258c
1520dba13
hex16641f0

23478768 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 6994944.

The previous prime is 23478761. The next prime is 23478781. The reversal of 23478768 is 86787432.

It is a happy number.

Its product of digits (451584) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23478761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168843 + ... + 168981.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 223478768 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 23478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

23478768 is an abundant number, since it is smaller than the sum of its proper divisors (51516432).

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

23478768 is a wasteful number, since it uses less digits than its factorization.

23478768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 23478768 is about 4845.4894489618. The cubic root of 23478768 is about 286.3464268363.

The spelling of 23478768 in words is "twenty-three million, four hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 139 144 153 184 204 207 216 272 276 278 306 368 391 408 414 417 432 459 552 556 612 621 782 816 828 834 918 1104 1112 1173 1224 1242 1251 1564 1656 1668 1836 2224 2346 2363 2448 2484 2502 3128 3197 3312 3336 3519 3672 3753 4692 4726 4968 5004 6256 6394 6672 7038 7089 7344 7506 9384 9452 9591 9936 10008 10557 12788 14076 14178 15012 18768 18904 19182 20016 21114 21267 25576 28152 28356 28773 30024 37808 38364 42228 42534 51152 54349 56304 56712 57546 60048 63801 76728 84456 85068 86319 108698 113424 115092 127602 153456 163047 168912 170136 172638 217396 230184 255204 326094 340272 345276 434792 460368 489141 510408 652188 690552 869584 978282 1020816 1304376 1381104 1467423 1956564 2608752 2934846 3913128 5869692 7826256 11739384 23478768