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61213440 = 283519839
BaseRepresentation
bin1110100110000…
…0101100000000
311021011222001110
43221200230000
5111132312230
610024003320
71342206561
oct351405400
9137158043
1061213440
113160a622
1218600540
13c8b3392
1481b6168
1555924b0
hex3a60b00

61213440 has 144 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 15446016.

The previous prime is 61213433. The next prime is 61213441. The reversal of 61213440 is 4431216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61213441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72541 + ... + 73379.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 261213440 is an apocalyptic number.

61213440 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 61213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

61213440 is an abundant number, since it is smaller than the sum of its proper divisors (144821760).

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

61213440 is a wasteful number, since it uses less digits than its factorization.

61213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61213440 is about 7823.9018398750. The cubic root of 61213440 is about 394.1083127881.

Adding to 61213440 its reverse (4431216), we get a palindrome (65644656).

The spelling of 61213440 in words is "sixty-one million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 839 912 960 1140 1216 1280 1520 1678 1824 1920 2280 2432 2517 3040 3356 3648 3840 4195 4560 4864 5034 6080 6712 7296 8390 9120 10068 12160 12585 13424 14592 15941 16780 18240 20136 24320 25170 26848 31882 33560 36480 40272 47823 50340 53696 63764 67120 72960 79705 80544 95646 100680 107392 127528 134240 159410 161088 191292 201360 214784 239115 255056 268480 318820 322176 382584 402720 478230 510112 536960 637640 644352 765168 805440 956460 1020224 1073920 1275280 1530336 1610880 1912920 2040448 2550560 3060672 3221760 3825840 4080896 5101120 6121344 7651680 10202240 12242688 15303360 20404480 30606720 61213440