Search a number
-
+
28575240 = 23351983151
BaseRepresentation
bin110110100000…
…0011000001000
31222202202212020
41231000120020
524303401430
62500244440
7464612511
oct155003010
958682766
1028575240
1115148001
1296a0720
135bc6635
143b1ba08
152796b10
hex1b40608

28575240 has 128 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 7084800.

The previous prime is 28575233. The next prime is 28575251. The reversal of 28575240 is 4257582.

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, 189165 + ... + 189315.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 228575240 is an apocalyptic number.

28575240 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 28575240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

28575240 is an abundant number, since it is smaller than the sum of its proper divisors (63354360).

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

28575240 is a wasteful number, since it uses less digits than its factorization.

28575240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 28575240 is about 5345.5813528558. The cubic root of 28575240 is about 305.7243020646.

The spelling of 28575240 in words is "twenty-eight million, five hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 83 95 114 120 151 152 166 190 228 249 285 302 332 380 415 453 456 498 570 604 664 755 760 830 906 996 1140 1208 1245 1510 1577 1660 1812 1992 2265 2280 2490 2869 3020 3154 3320 3624 4530 4731 4980 5738 6040 6308 7885 8607 9060 9462 9960 11476 12533 12616 14345 15770 17214 18120 18924 22952 23655 25066 28690 31540 34428 37599 37848 43035 47310 50132 57380 62665 63080 68856 75198 86070 94620 100264 114760 125330 150396 172140 187995 189240 238127 250660 300792 344280 375990 476254 501320 714381 751980 952508 1190635 1428762 1503960 1905016 2381270 2857524 3571905 4762540 5715048 7143810 9525080 14287620 28575240