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2930002680 = 2335114154139
BaseRepresentation
bin1010111010100100…
…0100101011111000
321120012022120001210
42232221010223320
522000040041210
61202424043120
7132415416603
oct25651045370
97505276053
102930002680
111273a01420
126993034a0
13379046cc7
141db1c533a
15122368e20
hexaea44af8

2930002680 has 128 divisors (see below), whose sum is σ = 9823161600. Its totient is φ = 692966400.

The previous prime is 2930002643. The next prime is 2930002681. The reversal of 2930002680 is 862000392.

2930002680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930002681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27051 + ... + 81189.

It is an arithmetic number, because the mean of its divisors is an integer number (76743450).

Almost surely, 22930002680 is an apocalyptic number.

2930002680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2930002680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911580800).

2930002680 is an abundant number, since it is smaller than the sum of its proper divisors (6893158920).

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

2930002680 is a wasteful number, since it uses less digits than its factorization.

2930002680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54205 (or 54201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2930002680 is about 54129.4991663511. The cubic root of 2930002680 is about 1430.9441138544.

The spelling of 2930002680 in words is "two billion, nine hundred thirty million, two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 54139 108278 162417 216556 270695 324834 433112 541390 595529 649668 812085 1082780 1191058 1299336 1624170 1786587 2165560 2219699 2382116 2977645 3248340 3573174 4439398 4764232 5955290 6496680 6659097 7146348 8878796 8932935 11098495 11910580 13318194 14292696 17757592 17865870 22196990 23821160 24416689 26636388 33295485 35731740 44393980 48833378 53272776 66590970 71463480 73250067 88787960 97666756 122083445 133181940 146500134 195333512 244166890 266363880 293000268 366250335 488333780 586000536 732500670 976667560 1465001340 2930002680