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28002520 = 2357313157
BaseRepresentation
bin110101011010…
…0100011011000
31221200200020101
41222310203120
524132040040
62440105144
7460006000
oct152644330
957620211
1028002520
1114896787
1294651b4
135a55a50
143a0d000
1526d209a
hex1ab48d8

28002520 has 128 divisors (see below), whose sum is σ = 79632000. Its totient is φ = 8805888.

The previous prime is 28002511. The next prime is 28002529. The reversal of 28002520 is 2520082.

It is an interprime number because it is at equal distance from previous prime (28002511) and next prime (28002529).

It is a super-2 number, since 2×280025202 = 1568282252700800, which contains 22 as substring.

28002520 is a modest number, since divided by 2520 gives 280 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28002529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178282 + ... + 178438.

It is an arithmetic number, because the mean of its divisors is an integer number (622125).

Almost surely, 228002520 is an apocalyptic number.

28002520 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 28002520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816000).

28002520 is an abundant number, since it is smaller than the sum of its proper divisors (51629480).

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

28002520 is a wasteful number, since it uses less digits than its factorization.

28002520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 28002520 is about 5291.7407343898. The cubic root of 28002520 is about 303.6680066812.

The spelling of 28002520 in words is "twenty-eight million, two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 157 182 196 245 260 280 314 343 364 392 455 490 520 628 637 686 728 785 910 980 1099 1256 1274 1372 1570 1715 1820 1960 2041 2198 2548 2744 3140 3185 3430 3640 4082 4396 4459 5096 5495 6280 6370 6860 7693 8164 8792 8918 10205 10990 12740 13720 14287 15386 16328 17836 20410 21980 22295 25480 28574 30772 35672 38465 40820 43960 44590 53851 57148 61544 71435 76930 81640 89180 100009 107702 114296 142870 153860 178360 200018 215404 269255 285740 307720 400036 430808 500045 538510 571480 700063 800072 1000090 1077020 1400126 2000180 2154040 2800252 3500315 4000360 5600504 7000630 14001260 28002520