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56184240 = 2435753631
BaseRepresentation
bin1101011001010…
…0110110110000
310220201110021210
43112110312300
5103340343430
65324120120
71251362310
oct326246660
9126643253
1056184240
1129795062
1216996040
13b842218
147667440
154dec2b0
hex3594db0

56184240 has 160 divisors (see below), whose sum is σ = 203129856. Its totient is φ = 12579840.

The previous prime is 56184229. The next prime is 56184253. The reversal of 56184240 is 4248165.

56184240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 56184198 and 56184207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88725 + ... + 89355.

Almost surely, 256184240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56184240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101564928).

56184240 is an abundant number, since it is smaller than the sum of its proper divisors (146945616).

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

56184240 is a wasteful number, since it uses less digits than its factorization.

56184240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56184240 is about 7495.6147179534. The cubic root of 56184240 is about 383.0053468384.

The spelling of 56184240 in words is "fifty-six million, one hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 631 636 742 795 840 848 1060 1113 1262 1272 1484 1590 1680 1855 1893 2120 2226 2524 2544 2968 3155 3180 3710 3786 4240 4417 4452 5048 5565 5936 6310 6360 7420 7572 8834 8904 9465 10096 11130 12620 12720 13251 14840 15144 17668 17808 18930 22085 22260 25240 26502 29680 30288 33443 35336 37860 44170 44520 50480 53004 66255 66886 70672 75720 88340 89040 100329 106008 132510 133772 151440 167215 176680 200658 212016 234101 265020 267544 334430 353360 401316 468202 501645 530040 535088 668860 702303 802632 936404 1003290 1060080 1170505 1337720 1404606 1605264 1872808 2006580 2341010 2675440 2809212 3511515 3745616 4013160 4682020 5618424 7023030 8026320 9364040 11236848 14046060 18728080 28092120 56184240