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506894640 = 24357319733
BaseRepresentation
bin11110001101101…
…001100100110000
31022022210220201120
4132031221210300
52014231112030
6122144302240
715363350640
oct3615514460
91268726646
10506894640
1124014649a
12121911980
138102a375
144b46c520
152e77b010
hex1e369930

506894640 has 160 divisors (see below), whose sum is σ = 1853976576. Its totient is φ = 112112640.

The previous prime is 506894623. The next prime is 506894651. The reversal of 506894640 is 46498605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 506894592 and 506894601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47214 + ... + 56946.

Almost surely, 2506894640 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 506894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926988288).

506894640 is an abundant number, since it is smaller than the sum of its proper divisors (1347081936).

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

506894640 is a wasteful number, since it uses less digits than its factorization.

506894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9787 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 506894640 is about 22514.3207758973. The cubic root of 506894640 is about 797.3320709169.

The spelling of 506894640 in words is "five hundred six million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 9733 10416 13020 17360 19466 26040 29199 38932 48665 52080 58398 68131 77864 97330 116796 136262 145995 155728 194660 204393 233592 272524 291990 301723 340655 389320 408786 467184 545048 583980 603446 681310 778640 817572 905169 1021965 1090096 1167960 1206892 1362620 1508615 1635144 1810338 2043930 2112061 2335920 2413784 2725240 3017230 3270288 3620676 4087860 4224122 4525845 4827568 5450480 6034460 6336183 7241352 8175720 8448244 9051690 10560305 12068920 12672366 14482704 16351440 16896488 18103380 21120610 24137840 25344732 31680915 33792976 36206760 42241220 50689464 63361830 72413520 84482440 101378928 126723660 168964880 253447320 506894640