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612668980 = 225711259613
BaseRepresentation
bin100100100001001…
…001011000110100
31120200211210211201
4210201021120310
52223320401410
6140443342244
721116412640
oct4441113064
91520753751
10612668980
11294921300
12151221984
1399c13231
145b523c20
1538bc183a
hex24849634

612668980 has 144 divisors (see below), whose sum is σ = 1646305920. Its totient is φ = 187418880.

The previous prime is 612668939. The next prime is 612668999. The reversal of 612668980 is 89866216.

It is a self number, because there is not a number n which added to its sum of digits gives 612668980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999154 + ... + 999766.

It is an arithmetic number, because the mean of its divisors is an integer number (11432680).

Almost surely, 2612668980 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 612668980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823152960).

612668980 is an abundant number, since it is smaller than the sum of its proper divisors (1033636940).

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

612668980 is a wasteful number, since it uses less digits than its factorization.

612668980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 612668980 is about 24752.1510176389. The cubic root of 612668980 is about 849.3277175531.

The spelling of 612668980 in words is "six hundred twelve million, six hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 121 140 154 220 236 242 295 308 385 413 484 590 605 613 649 770 826 847 1180 1210 1226 1298 1540 1652 1694 2065 2420 2452 2596 3065 3245 3388 4130 4235 4291 4543 6130 6490 6743 7139 8260 8470 8582 9086 12260 12980 13486 14278 16940 17164 18172 21455 22715 26972 28556 33715 35695 36167 42910 45430 47201 49973 67430 71390 72334 74173 85820 90860 94402 99946 134860 142780 144668 148346 180835 188804 199892 236005 249865 253169 296692 361670 370865 397837 472010 499730 506338 519211 723340 741730 795674 944020 999460 1012676 1038422 1265845 1483460 1591348 1989185 2076844 2531690 2596055 2784859 3978370 4376207 5063380 5192110 5569718 7956740 8752414 10384220 11139436 13924295 17504828 21881035 27848590 30633449 43762070 55697180 61266898 87524140 122533796 153167245 306334490 612668980