Search a number
-
+
16969120 = 2557109139
BaseRepresentation
bin100000010111…
…0110110100000
31011221010020221
41000232312200
513321002440
61403412424
7264143440
oct100566640
934833227
1016969120
119640173
125824114
1336919cc
14237a120
151752d4a
hex102eda0

16969120 has 96 divisors (see below), whose sum is σ = 46569600. Its totient is φ = 5723136.

The previous prime is 16969103. The next prime is 16969123. The reversal of 16969120 is 2196961.

It is not an unprimeable number, because it can be changed into a prime (16969123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122011 + ... + 122149.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 216969120 is an apocalyptic number.

16969120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284800).

16969120 is an abundant number, since it is smaller than the sum of its proper divisors (29600480).

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

16969120 is a wasteful number, since it uses less digits than its factorization.

16969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 16969120 is about 4119.3591734638. The cubic root of 16969120 is about 256.9723761232.

It can be divided in two parts, 1696 and 9120, that added together give a square (10816 = 1042).

The spelling of 16969120 in words is "sixteen million, nine hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 139 140 160 218 224 278 280 436 545 556 560 695 763 872 973 1090 1112 1120 1390 1526 1744 1946 2180 2224 2780 3052 3488 3815 3892 4360 4448 4865 5560 6104 7630 7784 8720 9730 11120 12208 15151 15260 15568 17440 19460 22240 24416 30302 30520 31136 38920 60604 61040 75755 77840 106057 121208 122080 151510 155680 212114 242416 303020 424228 484832 530285 606040 848456 1060570 1212080 1696912 2121140 2424160 3393824 4242280 8484560 16969120