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2931712920 = 2333519142871
BaseRepresentation
bin1010111010111110…
…0110001110011000
321120022112110002000
42232233212032120
522001004303140
61202524441000
7132436101663
oct25657461630
97508473060
102931712920
11127496a344
126999a9160
133794c5596
141db50c6da
151225a5a30
hexaebe6398

2931712920 has 128 divisors (see below), whose sum is σ = 10286784000. Its totient is φ = 740638080.

The previous prime is 2931712919. The next prime is 2931712943. The reversal of 2931712920 is 292171392.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50916 + ... + 91955.

It is an arithmetic number, because the mean of its divisors is an integer number (80365500).

Almost surely, 22931712920 is an apocalyptic number.

2931712920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2931712920 is an abundant number, since it is smaller than the sum of its proper divisors (7355071080).

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

2931712920 is a wasteful number, since it uses less digits than its factorization.

2931712920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142910 (or 142900 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2931712920 is about 54145.2945323968. The cubic root of 2931712920 is about 1431.2224733110. Note that the first 3 decimals are identical.

The spelling of 2931712920 in words is "two billion, nine hundred thirty-one million, seven hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 142871 285742 428613 571484 714355 857226 1142968 1285839 1428710 1714452 2143065 2571678 2714549 2857420 3428904 3857517 4286130 5143356 5429098 5714840 6429195 7715034 8143647 8572260 10286712 10858196 12858390 13572745 15430068 16287294 17144520 19287585 21716392 24430941 25716780 27145490 30860136 32574588 38575170 40718235 48861882 51433560 54290980 65149176 73292823 77150340 81436470 97723764 108581960 122154705 146585646 154300680 162872940 195447528 244309410 293171292 325745880 366464115 488618820 586342584 732928230 977237640 1465856460 2931712920