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61224240 = 24357113313
BaseRepresentation
bin1110100110001…
…1010100110000
311021012111212110
43221203110300
5111133133430
610024125320
71342253220
oct351432460
9137174773
1061224240
1131617750
1218606840
13c8b827c
1481ba080
1555957b0
hex3a63530

61224240 has 160 divisors (see below), whose sum is σ = 236699136. Its totient is φ = 12718080.

The previous prime is 61224239. The next prime is 61224253. The reversal of 61224240 is 4242216.

It is a super-4 number, since 4×612242404 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 16824 + ... + 20136.

Almost surely, 261224240 is an apocalyptic number.

61224240 is a gapful number since it is divisible by the number (60) 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 61224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118349568).

61224240 is an abundant number, since it is smaller than the sum of its proper divisors (175474896).

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

61224240 is a wasteful number, since it uses less digits than its factorization.

61224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 61224240 is about 7824.5920021430. The cubic root of 61224240 is about 394.1314891770.

Adding to 61224240 its reverse (4242216), we get a palindrome (65466456).

The spelling of 61224240 in words is "sixty-one million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3313 3696 4620 6160 6626 9240 9939 13252 16565 18480 19878 23191 26504 33130 36443 39756 46382 49695 53008 66260 69573 72886 79512 92764 99390 109329 115955 132520 139146 145772 159024 182215 185528 198780 218658 231910 255101 265040 278292 291544 347865 364430 371056 397560 437316 463820 510202 546645 556584 583088 695730 728860 765303 795120 874632 927640 1020404 1093290 1113168 1275505 1391460 1457720 1530606 1749264 1855280 2040808 2186580 2551010 2782920 2915440 3061212 3826515 4081616 4373160 5102020 5565840 6122424 7653030 8746320 10204040 12244848 15306060 20408080 30612120 61224240