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61214720 = 21257261
BaseRepresentation
bin1110100110000…
…1000000000000
311021012000210212
43221201000000
5111132332340
610024013252
71342213400
oct351410000
9137160725
1061214720
1131610586
1218601228
13c8b3b38
1481b6800
155592a65
hex3a61000

61214720 has 156 divisors (see below), whose sum is σ = 173681964. Its totient is φ = 20643840.

The previous prime is 61214719. The next prime is 61214729. The reversal of 61214720 is 2741216.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 51380224 = 3136^2 + 7168^2 .

It is not an unprimeable number, because it can be changed into a prime (61214729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003490 + ... + 1003550.

Almost surely, 261214720 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 61214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86840982).

61214720 is an abundant number, since it is smaller than the sum of its proper divisors (112467244).

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

61214720 is an equidigital number, since it uses as much as digits as its factorization.

61214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 61214720 is about 7823.9836400647. The cubic root of 61214720 is about 394.1110597617. Note that the first 3 decimals are identical.

Adding to 61214720 its reverse (2741216), we get a palindrome (63955936).

The spelling of 61214720 in words is "sixty-one million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 61 64 70 80 98 112 122 128 140 160 196 224 244 245 256 280 305 320 392 427 448 488 490 512 560 610 640 784 854 896 976 980 1024 1120 1220 1280 1568 1708 1792 1952 1960 2048 2135 2240 2440 2560 2989 3136 3416 3584 3904 3920 4096 4270 4480 4880 5120 5978 6272 6832 7168 7808 7840 8540 8960 9760 10240 11956 12544 13664 14336 14945 15616 15680 17080 17920 19520 20480 23912 25088 27328 28672 29890 31232 31360 34160 35840 39040 47824 50176 54656 59780 62464 62720 68320 71680 78080 95648 100352 109312 119560 124928 125440 136640 143360 156160 191296 200704 218624 239120 249856 250880 273280 312320 382592 437248 478240 501760 546560 624640 765184 874496 956480 1003520 1093120 1249280 1530368 1748992 1912960 2186240 3060736 3825920 4372480 6121472 7651840 8744960 12242944 15303680 30607360 61214720