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23970870 = 23357111153
BaseRepresentation
bin101101101110…
…0010000110110
31200002211212000
41123130100312
522114031440
62213440130
7410514630
oct133342066
950084760
1023970870
1112592740
128040046
134c73961
14327da50
152187730
hex16dc436

23970870 has 128 divisors (see below), whose sum is σ = 79764480. Its totient is φ = 4976640.

The previous prime is 23970847. The next prime is 23970883. The reversal of 23970870 is 7807932.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20214 + ... + 21366.

It is an arithmetic number, because the mean of its divisors is an integer number (623160).

Almost surely, 223970870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23970870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39882240).

23970870 is an abundant number, since it is smaller than the sum of its proper divisors (55793610).

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

23970870 is a wasteful number, since it uses less digits than its factorization.

23970870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 23970870 is about 4896.0055147028. The cubic root of 23970870 is about 288.3331647862. Note that the first 3 decimals are identical.

It can be divided in two parts, 239708 and 70, that added together give a triangular number (239778 = T692).

The spelling of 23970870 in words is "twenty-three million, nine hundred seventy thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1153 1155 1386 1485 1890 2079 2306 2310 2970 3459 3465 4158 5765 6918 6930 8071 10377 10395 11530 12683 16142 17295 20754 20790 24213 25366 31131 34590 38049 40355 48426 51885 62262 63415 72639 76098 80710 88781 103770 114147 121065 126830 145278 155655 177562 190245 217917 228294 242130 266343 311310 342441 363195 380490 435834 443905 532686 570735 684882 726390 799029 887810 1089585 1141470 1331715 1598058 1712205 2179170 2397087 2663430 3424410 3995145 4794174 7990290 11985435 23970870