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507301980 = 2235311072549
BaseRepresentation
bin11110001111001…
…101000001011100
31022100120121111020
4132033031001130
52014332130410
6122201124140
715366665343
oct3617150134
91270517436
10507301980
112403a4539
12121a89650
13811408b3
144b536b5a
152e80ba70
hex1e3cd05c

507301980 has 96 divisors (see below), whose sum is σ = 1480550400. Its totient is φ = 129642240.

The previous prime is 507301969. The next prime is 507301999. The reversal of 507301980 is 89103705.

It is a congruent number.

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, 197746 + ... + 200294.

It is an arithmetic number, because the mean of its divisors is an integer number (15422400).

Almost surely, 2507301980 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 507301980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

507301980 is an abundant number, since it is smaller than the sum of its proper divisors (973248420).

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

507301980 is a wasteful number, since it uses less digits than its factorization.

507301980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 507301980 is about 22523.3652014969. The cubic root of 507301980 is about 797.5455921367.

The spelling of 507301980 in words is "five hundred seven million, three hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 107 124 155 186 214 310 321 372 428 465 535 620 642 930 1070 1284 1605 1860 2140 2549 3210 3317 5098 6420 6634 7647 9951 10196 12745 13268 15294 16585 19902 25490 30588 33170 38235 39804 49755 50980 66340 76470 79019 99510 152940 158038 199020 237057 272743 316076 395095 474114 545486 790190 818229 948228 1090972 1185285 1363715 1580380 1636458 2370570 2727430 3272916 4091145 4741140 5454860 8182290 8455033 16364580 16910066 25365099 33820132 42275165 50730198 84550330 101460396 126825495 169100660 253650990 507301980