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28746240 = 293519197
BaseRepresentation
bin110110110101…
…0001000000000
32000002110102120
41231222020000
524324334430
62504044240
7466224165
oct155521000
960073376
1028746240
1115254526
129763680
135c56413
143b6406c
1527cc610
hex1b6a200

28746240 has 160 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 7225344.

The previous prime is 28746209. The next prime is 28746253. The reversal of 28746240 is 4264782.

It is a tau number, because it is divible by the number of its divisors (160).

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, 145822 + ... + 146018.

It is an arithmetic number, because the mean of its divisors is an integer number (607662).

Almost surely, 228746240 is an apocalyptic number.

28746240 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 28746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

28746240 is an abundant number, since it is smaller than the sum of its proper divisors (68479680).

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

28746240 is a wasteful number, since it uses less digits than its factorization.

28746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 28746240 is about 5361.5520141093. The cubic root of 28746240 is about 306.3329282571.

The spelling of 28746240 in words is "twenty-eight million, seven hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 197 228 240 256 285 304 320 380 384 394 456 480 512 570 591 608 640 760 768 788 912 960 985 1140 1182 1216 1280 1520 1536 1576 1824 1920 1970 2280 2364 2432 2560 2955 3040 3152 3648 3743 3840 3940 4560 4728 4864 5910 6080 6304 7296 7486 7680 7880 9120 9456 9728 11229 11820 12160 12608 14592 14972 15760 18240 18715 18912 22458 23640 24320 25216 29184 29944 31520 36480 37430 37824 44916 47280 48640 50432 56145 59888 63040 72960 74860 75648 89832 94560 100864 112290 119776 126080 145920 149720 151296 179664 189120 224580 239552 252160 299440 302592 359328 378240 449160 479104 504320 598880 718656 756480 898320 958208 1197760 1437312 1512960 1796640 1916416 2395520 2874624 3593280 4791040 5749248 7186560 9582080 14373120 28746240