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530051040 = 2535513633
BaseRepresentation
bin11111100101111…
…110111111100000
31100221101101100000
4133211332333200
52041143113130
6124332500000
716064234211
oct3745767740
91327341300
10530051040
11252222212
1212961a600
1385a7738c
1450579408
1531802260
hex1f97efe0

530051040 has 144 divisors (see below), whose sum is σ = 1875929328. Its totient is φ = 141336576.

The previous prime is 530050949. The next prime is 530051047. The reversal of 530051040 is 40150035.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530051047) 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, 32064 + ... + 45696.

It is an arithmetic number, because the mean of its divisors is an integer number (13027287).

Almost surely, 2530051040 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 530051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937964664).

530051040 is an abundant number, since it is smaller than the sum of its proper divisors (1345878288).

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

530051040 is a wasteful number, since it uses less digits than its factorization.

530051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13663 (or 13643 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 530051040 is about 23022.8373577194. The cubic root of 530051040 is about 809.2932106099.

It can be divided in two parts, 53005 and 1040, that added together give a palindrome (54045).

The spelling of 530051040 in words is "five hundred thirty million, fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 13633 19440 27266 38880 40899 54532 68165 81798 109064 122697 136330 163596 204495 218128 245394 272660 327192 368091 408990 436256 490788 545320 613485 654384 736182 817980 981576 1090640 1104273 1226970 1308768 1472364 1635960 1840455 1963152 2181280 2208546 2453940 2944728 3271920 3312819 3680910 3926304 4417092 4907880 5521365 5889456 6543840 6625638 7361820 8834184 9815760 11042730 11778912 13251276 14723640 16564095 17668368 19631520 22085460 26502552 29447280 33128190 35336736 44170920 53005104 58894560 66256380 88341840 106010208 132512760 176683680 265025520 530051040