Search a number
-
+
16153940 = 22511101727
BaseRepresentation
bin111101100111…
…110101010100
31010101201001002
4331213311110
513113411230
61334122432
7254210015
oct75476524
933351032
1016153940
119133770
1254b0418
13346795a
14220700c
151641545
hexf67d54

16153940 has 48 divisors (see below), whose sum is σ = 37425024. Its totient is φ = 5808000.

The previous prime is 16153937. The next prime is 16153967. The reversal of 16153940 is 4935161.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21857 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 216153940 is an apocalyptic number.

16153940 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 16153940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

16153940 is an abundant number, since it is smaller than the sum of its proper divisors (21271084).

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

16153940 is a wasteful number, since it uses less digits than its factorization.

16153940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 16153940 is about 4019.1964371003. The cubic root of 16153940 is about 252.7897663499.

It can be divided in two parts, 1615 and 3940, that added together give a palindrome (5555).

The spelling of 16153940 in words is "sixteen million, one hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 727 1010 1111 1454 2020 2222 2908 3635 4444 5555 7270 7997 11110 14540 15994 22220 31988 39985 73427 79970 146854 159940 293708 367135 734270 807697 1468540 1615394 3230788 4038485 8076970 16153940