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276980040 = 23335318273
BaseRepresentation
bin10000100000100…
…110000101001000
3201022012001012000
4100200212011020
51031401330130
643252351000
76602201661
oct2040460510
9638161160
10276980040
11132391227
1278915460
13454cac1c
1428b00368
15194b3260
hex10826148

276980040 has 128 divisors (see below), whose sum is σ = 953164800. Its totient is φ = 71470080.

The previous prime is 276979999. The next prime is 276980057. The reversal of 276980040 is 40089672.

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

It is a junction number, because it is equal to n+sod(n) for n = 276979977 and 276980004.

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, 29344 + ... + 37616.

It is an arithmetic number, because the mean of its divisors is an integer number (7446600).

Almost surely, 2276980040 is an apocalyptic number.

276980040 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 276980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476582400).

276980040 is an abundant number, since it is smaller than the sum of its proper divisors (676184760).

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

276980040 is a wasteful number, since it uses less digits than its factorization.

276980040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 276980040 is about 16642.7173262061. The cubic root of 276980040 is about 651.8527337489.

The spelling of 276980040 in words is "two hundred seventy-six million, nine hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8273 8370 11160 16546 16740 24819 33092 33480 41365 49638 66184 74457 82730 99276 124095 148914 165460 198552 223371 248190 256463 297828 330920 372285 446742 496380 512926 595656 744570 769389 893484 992760 1025852 1116855 1282315 1489140 1538778 1786968 2051704 2233710 2308167 2564630 2978280 3077556 3846945 4467420 4616334 5129260 6155112 6924501 7693890 8934840 9232668 10258520 11540835 13849002 15387780 18465336 23081670 27698004 30775560 34622505 46163340 55396008 69245010 92326680 138490020 276980040