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28740120 = 2335376473
BaseRepresentation
bin110110110100…
…0101000011000
32000002011000220
41231220220120
524324140440
62504000040
7466200303
oct155505030
960064026
1028740120
111524a972
129760020
135c536b6
143b61b3a
1527ca8d0
hex1b68a18

28740120 has 64 divisors (see below), whose sum is σ = 88564320. Its totient is φ = 7455744.

The previous prime is 28740113. The next prime is 28740169. The reversal of 28740120 is 2104782.

It is a super-2 number, since 2×287401202 = 1651988995228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204 + ... + 7676.

Almost surely, 228740120 is an apocalyptic number.

28740120 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 28740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44282160).

28740120 is an abundant number, since it is smaller than the sum of its proper divisors (59824200).

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

28740120 is a wasteful number, since it uses less digits than its factorization.

28740120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 28740120 is about 5360.9812534647. The cubic root of 28740120 is about 306.3111875520.

The spelling of 28740120 in words is "twenty-eight million, seven hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 6473 12946 19419 25892 32365 38838 51784 64730 77676 97095 129460 155352 194190 239501 258920 388380 479002 718503 776760 958004 1197505 1437006 1916008 2395010 2874012 3592515 4790020 5748024 7185030 9580040 14370060 28740120