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2068152 = 2331737137
BaseRepresentation
bin111111000111010111000
310220001222020
413320322320
51012140102
6112154440
723402412
oct7707270
93801866
102068152
111192919
12838a20
13575478
143bb9b2
152acbbc
hex1f8eb8

2068152 has 64 divisors (see below), whose sum is σ = 5663520. Its totient is φ = 626688.

The previous prime is 2068151. The next prime is 2068201. The reversal of 2068152 is 2518602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068151) 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, 15028 + ... + 15164.

22068152 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 2068152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831760).

2068152 is an abundant number, since it is smaller than the sum of its proper divisors (3595368).

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

2068152 is a wasteful number, since it uses less digits than its factorization.

2068152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2068152 is about 1438.1070891975. The cubic root of 2068152 is about 127.4072528108.

The spelling of 2068152 in words is "two million, sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 137 148 204 222 274 296 408 411 444 548 629 822 888 1096 1258 1644 1887 2329 2516 3288 3774 4658 5032 5069 6987 7548 9316 10138 13974 15096 15207 18632 20276 27948 30414 40552 55896 60828 86173 121656 172346 258519 344692 517038 689384 1034076 2068152