Search a number
-
+
2038932 = 223472931
BaseRepresentation
bin111110001110010010100
310211120220000
413301302110
51010221212
6111411300
723221260
oct7616224
93746800
102038932
111172975
12823b30
1356508c
143b10a0
152a41dc
hex1f1c94

2038932 has 120 divisors (see below), whose sum is σ = 6504960. Its totient is φ = 544320.

The previous prime is 2038921. The next prime is 2038943. The reversal of 2038932 is 2398302.

It is an interprime number because it is at equal distance from previous prime (2038921) and next prime (2038943).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2038896 and 2038905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65757 + ... + 65787.

It is an arithmetic number, because the mean of its divisors is an integer number (54208).

22038932 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 2038932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252480).

2038932 is an abundant number, since it is smaller than the sum of its proper divisors (4466028).

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

2038932 is a wasteful number, since it uses less digits than its factorization.

2038932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2038932 is about 1427.9117619797. The cubic root of 2038932 is about 126.8043777741.

The spelling of 2038932 in words is "two million, thirty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 31 36 42 54 58 62 63 81 84 87 93 108 116 124 126 162 174 186 189 203 217 252 261 279 324 348 372 378 406 434 522 558 567 609 651 756 783 812 837 868 899 1044 1116 1134 1218 1302 1566 1674 1798 1827 1953 2268 2349 2436 2511 2604 2697 3132 3348 3596 3654 3906 4698 5022 5394 5481 5859 6293 7308 7812 8091 9396 10044 10788 10962 11718 12586 16182 16443 17577 18879 21924 23436 24273 25172 32364 32886 35154 37758 48546 56637 65772 70308 72819 75516 97092 113274 145638 169911 226548 291276 339822 509733 679644 1019466 2038932