Search a number
-
+
11672430 = 23571131163
BaseRepresentation
bin101100100001…
…101101101110
3210222000120020
4230201231232
510442004210
61054103010
7201133260
oct54415556
923860506
1011672430
116652740
123aaaa66
132558b83
14179bb30
151058770
hexb21b6e

11672430 has 128 divisors (see below), whose sum is σ = 36274176. Its totient is φ = 2332800.

The previous prime is 11672429. The next prime is 11672449. The reversal of 11672430 is 3427611.

11672430 = T308 + T309 + ... + T462.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11672430.

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, 71529 + ... + 71691.

It is an arithmetic number, because the mean of its divisors is an integer number (283392).

Almost surely, 211672430 is an apocalyptic number.

11672430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11672430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137088).

11672430 is an abundant number, since it is smaller than the sum of its proper divisors (24601746).

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

11672430 is a wasteful number, since it uses less digits than its factorization.

11672430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11672430 is about 3416.4938167660. The cubic root of 11672430 is about 226.8404112893.

The spelling of 11672430 in words is "eleven million, six hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 77 93 105 110 154 155 163 165 186 210 217 231 310 326 330 341 385 434 462 465 489 651 682 770 815 930 978 1023 1085 1141 1155 1302 1630 1705 1793 2046 2170 2282 2310 2387 2445 3255 3410 3423 3586 4774 4890 5053 5115 5379 5705 6510 6846 7161 8965 10106 10230 10758 11410 11935 12551 14322 15159 17115 17930 23870 25102 25265 26895 30318 34230 35371 35805 37653 50530 53790 55583 62755 70742 71610 75306 75795 106113 111166 125510 151590 166749 176855 188265 212226 277915 333498 353710 376530 389081 530565 555830 778162 833745 1061130 1167243 1667490 1945405 2334486 3890810 5836215 11672430