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2690917680 = 2435111397333
BaseRepresentation
bin1010000001100100…
…0010010100110000
320221112102210002210
42200121002110300
521002333331210
61123003412120
7123453265023
oct24031022460
96845383083
102690917680
111160a53310
12631224040
1333b6567a9
141b754b1ba
1510b38de20
hexa0642530

2690917680 has 160 divisors (see below), whose sum is σ = 9166913280. Its totient is φ = 647562240.

The previous prime is 2690917673. The next prime is 2690917787. The reversal of 2690917680 is 867190962.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 363294 + ... + 370626.

It is an arithmetic number, because the mean of its divisors is an integer number (57293208).

Almost surely, 22690917680 is an apocalyptic number.

2690917680 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 2690917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583456640).

2690917680 is an abundant number, since it is smaller than the sum of its proper divisors (6475995600).

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

2690917680 is a wasteful number, since it uses less digits than its factorization.

2690917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 2690917680 is about 51874.0559432169. The cubic root of 2690917680 is about 1390.9135481393.

The spelling of 2690917680 in words is "two billion, six hundred ninety million, nine hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 139 165 176 220 240 264 278 330 417 440 528 556 660 695 834 880 1112 1320 1390 1529 1668 2085 2224 2640 2780 3058 3336 4170 4587 5560 6116 6672 7333 7645 8340 9174 11120 12232 14666 15290 16680 18348 21999 22935 24464 29332 30580 33360 36665 36696 43998 45870 58664 61160 73330 73392 80663 87996 91740 109995 117328 122320 146660 161326 175992 183480 219990 241989 293320 322652 351984 366960 403315 439980 483978 586640 645304 806630 879960 967956 1019287 1209945 1290608 1613260 1759920 1935912 2038574 2419890 3057861 3226520 3871824 4077148 4839780 5096435 6115722 6453040 8154296 9679560 10192870 11212157 12231444 15289305 16308592 19359120 20385740 22424314 24462888 30578610 33636471 40771480 44848628 48925776 56060785 61157220 67272942 81542960 89697256 112121570 122314440 134545884 168182355 179394512 224243140 244628880 269091768 336364710 448486280 538183536 672729420 896972560 1345458840 2690917680