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2152032 = 25329773
BaseRepresentation
bin1000001101011001100000
311001100000220
420031121200
51022331112
6114043040
724202101
oct10153140
94040026
102152032
11123a943
12879480
135a46bc
144003a8
152c798c
hex20d660

2152032 has 48 divisors (see below), whose sum is σ = 5851440. Its totient is φ = 691712.

The previous prime is 2152009. The next prime is 2152037. The reversal of 2152032 is 2302512.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152037) 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, 2398 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (121905).

22152032 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 2152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925720).

2152032 is an abundant number, since it is smaller than the sum of its proper divisors (3699408).

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

2152032 is a wasteful number, since it uses less digits than its factorization.

2152032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2152032 is about 1466.9805724685. The cubic root of 2152032 is about 129.1069361477.

Adding to 2152032 its reverse (2302512), we get a palindrome (4454544).

The spelling of 2152032 in words is "two million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 773 928 1392 1546 2319 2784 3092 4638 6184 9276 12368 18552 22417 24736 37104 44834 67251 74208 89668 134502 179336 269004 358672 538008 717344 1076016 2152032