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61012440 = 233556277
BaseRepresentation
bin1110100010111…
…1100111011000
311020210202100000
43220233213120
5111104344230
610015413000
71340411556
oct350574730
9136722300
1061012440
1131492605
1218524160
13c842a48
148162bd6
155552b60
hex3a2f9d8

61012440 has 96 divisors (see below), whose sum is σ = 205667280. Its totient is φ = 16267392.

The previous prime is 61012421. The next prime is 61012447. The reversal of 61012440 is 4421016.

61012440 is a `hidden beast` number, since 610 + 12 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61012447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6582 + ... + 12858.

Almost surely, 261012440 is an apocalyptic number.

61012440 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 61012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102833640).

61012440 is an abundant number, since it is smaller than the sum of its proper divisors (144654840).

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

61012440 is a wasteful number, since it uses less digits than its factorization.

61012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 61012440 is about 7811.0460247012. The cubic root of 61012440 is about 393.6764760678.

Adding to 61012440 its reverse (4421016), we get a palindrome (65433456).

The spelling of 61012440 in words is "sixty-one million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 6277 9720 12554 18831 25108 31385 37662 50216 56493 62770 75324 94155 112986 125540 150648 169479 188310 225972 251080 282465 338958 376620 451944 508437 564930 677916 753240 847395 1016874 1129860 1355832 1525311 1694790 2033748 2259720 2542185 3050622 3389580 4067496 5084370 6101244 6779160 7626555 10168740 12202488 15253110 20337480 30506220 61012440