Search a number
-
+
4132296 = 23347911
BaseRepresentation
bin1111110000110111001000
321202221110000
433300313020
52024213141
6224323000
750060340
oct17606710
97687400
104132296
112372723
121473460
13b18b5c
14797d20
155695b6
hex3f0dc8

4132296 has 80 divisors (see below), whose sum is σ = 13242240. Its totient is φ = 1179360.

The previous prime is 4132279. The next prime is 4132313. The reversal of 4132296 is 6922314.

It is an interprime number because it is at equal distance from previous prime (4132279) and next prime (4132313).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4081 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (165528).

Almost surely, 24132296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621120).

4132296 is an abundant number, since it is smaller than the sum of its proper divisors (9109944).

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

4132296 is a wasteful number, since it uses less digits than its factorization.

4132296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4132296 is about 2032.8049586716. The cubic root of 4132296 is about 160.4712150318.

The spelling of 4132296 in words is "four million, one hundred thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 911 1134 1512 1822 2268 2733 3644 4536 5466 6377 7288 8199 10932 12754 16398 19131 21864 24597 25508 32796 38262 49194 51016 57393 65592 73791 76524 98388 114786 147582 153048 172179 196776 229572 295164 344358 459144 516537 590328 688716 1033074 1377432 2066148 4132296