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1077028080 = 24357615897
BaseRepresentation
bin100000000110010…
…0010010011110000
32210001121200202220
41000030202103300
54201204344310
6254512241040
735455405362
oct10014422360
92701550686
101077028080
11502a55157
12260840180
1314219992b
14a307cd32
1564849670
hex403224f0

1077028080 has 80 divisors (see below), whose sum is σ = 3343741344. Its totient is φ = 286781440.

The previous prime is 1077028037. The next prime is 1077028087. The reversal of 1077028080 is 808207701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077028087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179692 + ... + 185588.

Almost surely, 21077028080 is an apocalyptic number.

1077028080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077028080 is an abundant number, since it is smaller than the sum of its proper divisors (2266713264).

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

1077028080 is a wasteful number, since it uses less digits than its factorization.

1077028080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 1077028080 is about 32818.1059782554. The cubic root of 1077028080 is about 1025.0436086939.

The spelling of 1077028080 in words is "one billion, seventy-seven million, twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 761 1522 2283 3044 3805 4566 5897 6088 7610 9132 11415 11794 12176 15220 17691 18264 22830 23588 29485 30440 35382 36528 45660 47176 58970 60880 70764 88455 91320 94352 117940 141528 176910 182640 235880 283056 353820 471760 707640 1415280 4487617 8975234 13462851 17950468 22438085 26925702 35900936 44876170 53851404 67314255 71801872 89752340 107702808 134628510 179504680 215405616 269257020 359009360 538514040 1077028080