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2980869720 = 2335194727817
BaseRepresentation
bin1011000110101100…
…0111011001011000
321200202000212112020
42301223013121120
522101100312340
61211442214440
7133603655163
oct26153073130
97622025466
102980869720
11129a6945a4
126b2354420
13386746c4a
14203c66ada
15126a659d0
hexb1ac7658

2980869720 has 128 divisors (see below), whose sum is σ = 9613900800. Its totient is φ = 737012736.

The previous prime is 2980869691. The next prime is 2980869721. The reversal of 2980869720 is 279680892.

It is a happy number.

2980869720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29808697202 = 17771168575225756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980869721) 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, 93252 + ... + 121068.

It is an arithmetic number, because the mean of its divisors is an integer number (75108600).

Almost surely, 22980869720 is an apocalyptic number.

2980869720 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 2980869720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806950400).

2980869720 is an abundant number, since it is smaller than the sum of its proper divisors (6633031080).

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

2980869720 is a wasteful number, since it uses less digits than its factorization.

2980869720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27897 (or 27893 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 2980869720 is about 54597.3416935294. The cubic root of 2980869720 is about 1439.1774044127.

The spelling of 2980869720 in words is "two billion, nine hundred eighty million, eight hundred sixty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1128 1140 1410 1786 1880 2280 2679 2820 3572 4465 5358 5640 7144 8930 10716 13395 17860 21432 26790 27817 35720 53580 55634 83451 107160 111268 139085 166902 222536 278170 333804 417255 528523 556340 667608 834510 1057046 1112680 1307399 1585569 1669020 2114092 2614798 2642615 3171138 3338040 3922197 4228184 5229596 5285230 6342276 6536995 7844394 7927845 10459192 10570460 12684552 13073990 15688788 15855690 19610985 21140920 24840581 26147980 31377576 31711380 39221970 49681162 52295960 63422760 74521743 78443940 99362324 124202905 149043486 156887880 198724648 248405810 298086972 372608715 496811620 596173944 745217430 993623240 1490434860 2980869720