Search a number
-
+
1272676080 = 243513419949
BaseRepresentation
bin100101111011011…
…0111111011110000
310021200202122101010
41023312313323300
510101301113310
6330141510520
743352365614
oct11366677360
93250678333
101272676080
115a3435415
122b6272440
1317388c090
14c104b344
1576ae4320
hex4bdb7ef0

1272676080 has 160 divisors (see below), whose sum is σ = 4352846400. Its totient is φ = 305602560.

The previous prime is 1272676073. The next prime is 1272676091. The reversal of 1272676080 is 806762721.

It is a super-3 number, since 3×12726760803 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 122946 + ... + 132894.

It is an arithmetic number, because the mean of its divisors is an integer number (27205290).

Almost surely, 21272676080 is an apocalyptic number.

1272676080 is a gapful number since it is divisible by the number (10) 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 1272676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176423200).

1272676080 is an abundant number, since it is smaller than the sum of its proper divisors (3080170320).

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

1272676080 is a wasteful number, since it uses less digits than its factorization.

1272676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1272676080 is about 35674.5859121028. The cubic root of 1272676080 is about 1083.6922325396.

The spelling of 1272676080 in words is "one billion, two hundred seventy-two million, six hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 41 48 52 60 65 78 80 82 104 120 123 130 156 164 195 205 208 240 246 260 312 328 390 410 492 520 533 615 624 656 780 820 984 1040 1066 1230 1560 1599 1640 1968 2132 2460 2665 3120 3198 3280 4264 4920 5330 6396 7995 8528 9840 9949 10660 12792 15990 19898 21320 25584 29847 31980 39796 42640 49745 59694 63960 79592 99490 119388 127920 129337 149235 159184 198980 238776 258674 298470 388011 397960 407909 477552 517348 596940 646685 776022 795920 815818 1034696 1193880 1223727 1293370 1552044 1631636 1940055 2039545 2069392 2387760 2447454 2586740 3104088 3263272 3880110 4079090 4894908 5173480 5302817 6118635 6208176 6526544 7760220 8158180 9789816 10346960 10605634 12237270 15520440 15908451 16316360 19579632 21211268 24474540 26514085 31040880 31816902 32632720 42422536 48949080 53028170 63633804 79542255 84845072 97898160 106056340 127267608 159084510 212112680 254535216 318169020 424225360 636338040 1272676080