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521412320 = 255111321753
BaseRepresentation
bin11111000101000…
…001111011100000
31100100010111020102
4133011001323200
52031440143240
6123423401532
715630634352
oct3705017340
91310114212
10521412320
11248361880
121267532a8
1384041300
144d36b0d2
1530b97815
hex1f141ee0

521412320 has 144 divisors (see below), whose sum is σ = 1455974352. Its totient is φ = 174919680.

The previous prime is 521412319. The next prime is 521412347. The reversal of 521412320 is 23214125.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 521412292 and 521412301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296564 + ... + 298316.

It is an arithmetic number, because the mean of its divisors is an integer number (10110933).

Almost surely, 2521412320 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 521412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727987176).

521412320 is an abundant number, since it is smaller than the sum of its proper divisors (934562032).

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

521412320 is a wasteful number, since it uses less digits than its factorization.

521412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 521412320 is about 22834.4546683296. The cubic root of 521412320 is about 804.8725130210.

Adding to 521412320 its reverse (23214125), we get a palindrome (544626445).

The spelling of 521412320 in words is "five hundred twenty-one million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 169 176 208 220 260 286 338 352 416 440 520 572 676 715 845 880 1040 1144 1352 1430 1690 1753 1760 1859 2080 2288 2704 2860 3380 3506 3718 4576 5408 5720 6760 7012 7436 8765 9295 11440 13520 14024 14872 17530 18590 19283 22789 22880 27040 28048 29744 35060 37180 38566 45578 56096 59488 70120 74360 77132 91156 96415 113945 140240 148720 154264 182312 192830 227890 250679 280480 296257 297440 308528 364624 385660 455780 501358 592514 617056 729248 771320 911560 1002716 1185028 1253395 1481285 1542640 1823120 2005432 2370056 2506790 2962570 3085280 3258827 3646240 4010864 4740112 5013580 5925140 6517654 8021728 9480224 10027160 11850280 13035308 16294135 20054320 23700560 26070616 32588270 40108640 47401120 52141232 65176540 104282464 130353080 260706160 521412320