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2006472 = 2331359109
BaseRepresentation
bin111101001110111001000
310202221100210
413221313020
51003201342
6111001120
723024526
oct7516710
93687323
102006472
111150546
128091a0
13553380
143a3316
1529979c
hex1e9dc8

2006472 has 64 divisors (see below), whose sum is σ = 5544000. Its totient is φ = 601344.

The previous prime is 2006461. The next prime is 2006483. The reversal of 2006472 is 2746002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2006461) and next prime (2006483).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18354 + ... + 18462.

It is an arithmetic number, because the mean of its divisors is an integer number (86625).

22006472 is an apocalyptic number.

It is a pronic number, being equal to 1416×1417.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772000).

2006472 is an abundant number, since it is smaller than the sum of its proper divisors (3537528).

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

2006472 is a wasteful number, since it uses less digits than its factorization.

2006472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2006472 is about 1416.4999117543. The cubic root of 2006472 is about 126.1278621418.

The spelling of 2006472 in words is "two million, six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 109 118 156 177 218 236 312 327 354 436 472 654 708 767 872 1308 1416 1417 1534 2301 2616 2834 3068 4251 4602 5668 6136 6431 8502 9204 11336 12862 17004 18408 19293 25724 34008 38586 51448 77172 83603 154344 167206 250809 334412 501618 668824 1003236 2006472