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23406705 = 3357173147
BaseRepresentation
bin101100101001…
…0100001110001
31122001011222000
41121102201301
521443003310
62153404213
7402645060
oct131224161
948034860
1023406705
1112237893
127a09669
134b06c2a
1431741d7
1520c54c0
hex1652871

23406705 has 128 divisors (see below), whose sum is σ = 53084160. Its totient is φ = 9538560.

The previous prime is 23406701. The next prime is 23406731. The reversal of 23406705 is 50760432.

It is a happy number.

It is not a de Polignac number, because 23406705 - 22 = 23406701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23406701) 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 127 ways as a sum of consecutive naturals, for example, 497992 + ... + 498038.

It is an arithmetic number, because the mean of its divisors is an integer number (414720).

Almost surely, 223406705 is an apocalyptic number.

It is an amenable number.

23406705 is an abundant number, since it is smaller than the sum of its proper divisors (29677455).

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

23406705 is a wasteful number, since it uses less digits than its factorization.

23406705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23406705 is about 4838.0476434198. The cubic root of 23406705 is about 286.0531671251.

It can be divided in two parts, 2340 and 6705, that added together give a triangular number (9045 = T134).

The spelling of 23406705 in words is "twenty-three million, four hundred six thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 31 35 45 47 51 63 85 93 105 119 135 141 153 155 189 217 235 255 279 315 329 357 423 459 465 527 595 651 705 765 799 837 945 987 1071 1085 1269 1395 1457 1581 1645 1785 1953 2115 2295 2397 2635 2961 3213 3255 3689 3995 4185 4371 4743 4935 5355 5593 5859 6345 7191 7285 7905 8883 9765 10199 11067 11985 13113 14229 14805 16065 16779 18445 21573 21855 23715 24769 27965 29295 30597 33201 35955 39339 44415 50337 50995 55335 65565 71145 74307 83895 91791 99603 107865 123845 151011 152985 166005 173383 196695 222921 251685 275373 371535 458955 498015 520149 668763 755055 866915 1114605 1376865 1560447 2600745 3343815 4681341 7802235 23406705