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23485770 = 23257113389
BaseRepresentation
bin101100110010…
…1110101001010
31122012012102100
41121211311022
522003021040
62155214230
7403424430
oct131456512
948165370
1023485770
1112291230
127a47376
134b33c09
143194d50
1520ddb30
hex1665d4a

23485770 has 96 divisors (see below), whose sum is σ = 76152960. Its totient is φ = 4878720.

The previous prime is 23485753. The next prime is 23485771. The reversal of 23485770 is 7758432.

23485770 = 2112 + 2122 + ... + 4302.

It is not an unprimeable number, because it can be changed into a prime (23485771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5236 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (793260).

Almost surely, 223485770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23485770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38076480).

23485770 is an abundant number, since it is smaller than the sum of its proper divisors (52667190).

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

23485770 is a wasteful number, since it uses less digits than its factorization.

23485770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 23485770 is about 4846.2119227289. The cubic root of 23485770 is about 286.3748894087.

It can be divided in two parts, 2348 and 5770, that added together give a palindrome (8118).

The spelling of 23485770 in words is "twenty-three million, four hundred eighty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3389 3465 6778 6930 10167 16945 20334 23723 30501 33890 37279 47446 50835 61002 71169 74558 101670 111837 118615 142338 152505 186395 213507 223674 237230 260953 305010 335511 355845 372790 427014 521906 559185 671022 711690 782859 1067535 1118370 1304765 1565718 1677555 2135070 2348577 2609530 3355110 3914295 4697154 7828590 11742885 23485770