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28180560 = 2435176907
BaseRepresentation
bin110101110000…
…0000001010000
31222000201110110
41223200001100
524203234220
62444001320
7461350032
oct153400120
958021413
1028180560
11149a8521
129530240
135ab8ab5
143a57c52
152719be0
hex1ae0050

28180560 has 80 divisors (see below), whose sum is σ = 92511936. Its totient is φ = 7071744.

The previous prime is 28180549. The next prime is 28180601. The reversal of 28180560 is 6508182.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627 + ... + 7533.

Almost surely, 228180560 is an apocalyptic number.

28180560 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 28180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46255968).

28180560 is an abundant number, since it is smaller than the sum of its proper divisors (64331376).

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

28180560 is a wasteful number, since it uses less digits than its factorization.

28180560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 28180560 is about 5308.5365214906. The cubic root of 28180560 is about 304.3102211804.

The spelling of 28180560 in words is "twenty-eight million, one hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 6907 13814 20721 27628 34535 41442 55256 69070 82884 103605 110512 117419 138140 165768 207210 234838 276280 331536 352257 414420 469676 552560 587095 704514 828840 939352 1174190 1409028 1657680 1761285 1878704 2348380 2818056 3522570 4696760 5636112 7045140 9393520 14090280 28180560