Search a number
-
+
16375140 = 22325293137
BaseRepresentation
bin111110011101…
…110101100100
31010210221110200
4332131311210
513143001030
61342550500
7256120635
oct76356544
933727420
1016375140
119274981
125598430
133514542
14226388c
151686d60
hexf9dd64

16375140 has 72 divisors (see below), whose sum is σ = 51400440. Its totient is φ = 4214784.

The previous prime is 16375123. The next prime is 16375157. The reversal of 16375140 is 4157361.

It is an interprime number because it is at equal distance from previous prime (16375123) and next prime (16375157).

It can be written as a sum of positive squares in 4 ways, for example, as 6937956 + 9437184 = 2634^2 + 3072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3652 + ... + 6788.

It is an arithmetic number, because the mean of its divisors is an integer number (713895).

Almost surely, 216375140 is an apocalyptic number.

16375140 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 16375140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700220).

16375140 is an abundant number, since it is smaller than the sum of its proper divisors (35025300).

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

16375140 is a wasteful number, since it uses less digits than its factorization.

16375140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 16375140 is about 4046.6208124805. The cubic root of 16375140 is about 253.9383775946.

The spelling of 16375140 in words is "sixteen million, three hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3137 5220 6274 9411 12548 15685 18822 28233 31370 37644 47055 56466 62740 90973 94110 112932 141165 181946 188220 272919 282330 363892 454865 545838 564660 818757 909730 1091676 1364595 1637514 1819460 2729190 3275028 4093785 5458380 8187570 16375140