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2014152 = 233719631
BaseRepresentation
bin111101011101111001000
310210022220020
413223233020
51003423102
6111100440
723056110
oct7535710
93708806
102014152
111156298
12811720
13556a0a
143a6040
1529bbbc
hex1ebbc8

2014152 has 64 divisors (see below), whose sum is σ = 6067200. Its totient is φ = 544320.

The previous prime is 2014151. The next prime is 2014157. The reversal of 2014152 is 2514102.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2014151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877 + ... + 3507.

It is an arithmetic number, because the mean of its divisors is an integer number (94800).

22014152 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 2014152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033600).

2014152 is an abundant number, since it is smaller than the sum of its proper divisors (4053048).

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

2014152 is a wasteful number, since it uses less digits than its factorization.

2014152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2014152 is about 1419.2082299649. The cubic root of 2014152 is about 126.2885801774.

Adding to 2014152 its reverse (2514102), we get a palindrome (4528254).

The spelling of 2014152 in words is "two million, fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 631 798 1064 1262 1596 1893 2524 3192 3786 4417 5048 7572 8834 11989 13251 15144 17668 23978 26502 35336 35967 47956 53004 71934 83923 95912 106008 143868 167846 251769 287736 335692 503538 671384 1007076 2014152