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10780080 = 243544917
BaseRepresentation
bin101001000111…
…110110110000
3202021200111020
4221013312300
510224430310
61023015440
7160425543
oct51076660
922250436
1010780080
1160a3263
12373a580
13230595c
14160885a
15e2e170
hexa47db0

10780080 has 40 divisors (see below), whose sum is σ = 33418992. Its totient is φ = 2874624.

The previous prime is 10780069. The next prime is 10780093. The reversal of 10780080 is 8008701.

10780080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10780080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22219 + ... + 22698.

Almost surely, 210780080 is an apocalyptic number.

10780080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10780080 is an abundant number, since it is smaller than the sum of its proper divisors (22638912).

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

10780080 is a wasteful number, since it uses less digits than its factorization.

10780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44933 (or 44927 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10780080 is about 3283.3032147519. The cubic root of 10780080 is about 220.9059064509.

Adding to 10780080 its reverse (8008701), we get a palindrome (18788781).

It can be divided in two parts, 107800 and 80, that added together give a triangular number (107880 = T464).

The spelling of 10780080 in words is "ten million, seven hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 44917 89834 134751 179668 224585 269502 359336 449170 539004 673755 718672 898340 1078008 1347510 1796680 2156016 2695020 3593360 5390040 10780080