Search a number
-
+
5952380 = 2257174161
BaseRepresentation
bin10110101101001101111100
3102012102010112
4112231031330
53010434010
6331325152
7101410610
oct26551574
912172115
105952380
1133a6125
121bb07b8
131305425
14b0d340
157c8a05
hex5ad37c

5952380 has 96 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1843200.

The previous prime is 5952379. The next prime is 5952383. The reversal of 5952380 is 832595.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5952383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97550 + ... + 97610.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 25952380 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 5952380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5952380 is an abundant number, since it is smaller than the sum of its proper divisors (9796612).

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

5952380 is a wasteful number, since it uses less digits than its factorization.

5952380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 5952380 is about 2439.7499871913. The cubic root of 5952380 is about 181.2300525015.

It can be divided in two parts, 595 and 2380, that multiplied together give a square (1416100 = 11902).

The spelling of 5952380 in words is "five million, nine hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 61 68 70 82 85 119 122 140 164 170 205 238 244 287 305 340 410 427 476 574 595 610 697 820 854 1037 1148 1190 1220 1394 1435 1708 2074 2135 2380 2501 2788 2870 3485 4148 4270 4879 5002 5185 5740 6970 7259 8540 9758 10004 10370 12505 13940 14518 17507 19516 20740 24395 25010 29036 35014 36295 42517 48790 50020 70028 72590 85034 87535 97580 145180 170068 175070 212585 297619 350140 425170 595238 850340 1190476 1488095 2976190 5952380