Search a number
-
+
120372 = 22371433
BaseRepresentation
bin11101011000110100
320010010020
4131120310
512322442
62325140
71010640
oct353064
9203106
10120372
118248a
12597b0
1342a35
1431c20
15259ec
hex1d634

120372 has 24 divisors (see below), whose sum is σ = 321216. Its totient is φ = 34368.

The previous prime is 120371. The next prime is 120383. The reversal of 120372 is 273021.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120372.

It is not an unprimeable number, because it can be changed into a prime (120371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (13384).

2120372 is an apocalyptic number.

120372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120372 is an abundant number, since it is smaller than the sum of its proper divisors (200844).

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

120372 is a wasteful number, since it uses less digits than its factorization.

120372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 120372 is about 346.9466817827. The cubic root of 120372 is about 49.3751572927.

Adding to 120372 its reverse (273021), we get a palindrome (393393).

It can be divided in two parts, 1203 and 72, that added together give a triangular number (1275 = T50).

The spelling of 120372 in words is "one hundred twenty thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1433 2866 4299 5732 8598 10031 17196 20062 30093 40124 60186 120372