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2688860080 = 2451723671283
BaseRepresentation
bin1010000001000100…
…1011111110110000
320221101120020121101
42200101023332300
521001322010310
61122451334144
7123426635134
oct24021137660
96841506541
102688860080
11115a878415
126305b1354
1333b0b608a
141b71733c4
1510b0d443a
hexa044bfb0

2688860080 has 160 divisors (see below), whose sum is σ = 7015693824. Its totient is φ = 953069568.

The previous prime is 2688860021. The next prime is 2688860081. The reversal of 2688860080 is 800688862.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 2688860080.

It is not an unprimeable number, because it can be changed into a prime (2688860081) 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, 2095119 + ... + 2096401.

Almost surely, 22688860080 is an apocalyptic number.

2688860080 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 2688860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507846912).

2688860080 is an abundant number, since it is smaller than the sum of its proper divisors (4326833744).

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

2688860080 is a wasteful number, since it uses less digits than its factorization.

2688860080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 2688860080 is about 51854.2195004418. The cubic root of 2688860080 is about 1390.5589388170.

It can be divided in two parts, 26888 and 60080, that added together give a palindrome (86968).

The spelling of 2688860080 in words is "two billion, six hundred eighty-eight million, eight hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 67 68 80 85 92 115 134 136 170 184 230 268 272 335 340 368 391 460 536 670 680 782 920 1072 1139 1283 1340 1360 1541 1564 1840 1955 2278 2566 2680 3082 3128 3910 4556 5132 5360 5695 6164 6256 6415 7705 7820 9112 10264 11390 12328 12830 15410 15640 18224 20528 21811 22780 24656 25660 26197 29509 30820 31280 43622 45560 51320 52394 59018 61640 85961 87244 91120 102640 104788 109055 118036 123280 130985 147545 171922 174488 209576 218110 236072 261970 295090 343844 348976 419152 429805 436220 472144 501653 523940 590180 687688 859610 872440 1003306 1047880 1180360 1375376 1461337 1719220 1744880 1977103 2006612 2095760 2360720 2508265 2922674 3438440 3954206 4013224 5016530 5845348 6876880 7306685 7908412 8026448 9885515 10033060 11690696 14613370 15816824 19771030 20066120 23381392 29226740 31633648 33610751 39542060 40132240 58453480 67221502 79084120 116906960 134443004 158168240 168053755 268886008 336107510 537772016 672215020 1344430040 2688860080