Search a number
-
+
53531640 = 23325178747
BaseRepresentation
bin1100110000110…
…1001111111000
310201201200121100
43030031033320
5102201003030
65151211400
71220003631
oct314151770
9121650540
1053531640
1128243128
1215b16b60
13b123a36
147176888
154a76360
hex330d3f8

53531640 has 96 divisors (see below), whose sum is σ = 184232880. Its totient is φ = 13433856.

The previous prime is 53531633. The next prime is 53531641. The reversal of 53531640 is 4613535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53531641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747 + ... + 10493.

Almost surely, 253531640 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 53531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92116440).

53531640 is an abundant number, since it is smaller than the sum of its proper divisors (130701240).

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

53531640 is a wasteful number, since it uses less digits than its factorization.

53531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53531640 is about 7316.5319653508. The cubic root of 53531640 is about 376.8803688088.

The spelling of 53531640 in words is "fifty-three million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 8747 17494 26241 34988 43735 52482 69976 78723 87470 104964 131205 148699 157446 174940 209928 262410 297398 314892 349880 393615 446097 524820 594796 629784 743495 787230 892194 1049640 1189592 1338291 1486990 1574460 1784388 2230485 2676582 2973980 3148920 3568776 4460970 5353164 5947960 6691455 8921940 10706328 13382910 17843880 26765820 53531640