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61263240 = 23351759509
BaseRepresentation
bin1110100110110…
…0110110001000
311021021111100220
43221230312020
5111140410430
610025030040
71342505013
oct351546610
9137244326
1061263240
1131643a85
1218625320
13c8ccc4c
1481ca37a
1555a2110
hex3a6cd88

61263240 has 128 divisors (see below), whose sum is σ = 198288000. Its totient is φ = 15085568.

The previous prime is 61263211. The next prime is 61263269. The reversal of 61263240 is 4236216.

61263240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61263211) and next prime (61263269).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61263240.

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, 120106 + ... + 120614.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 261263240 is an apocalyptic number.

61263240 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 61263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144000).

61263240 is an abundant number, since it is smaller than the sum of its proper divisors (137024760).

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

61263240 is a wasteful number, since it uses less digits than its factorization.

61263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 61263240 is about 7827.0837481146. The cubic root of 61263240 is about 394.2151590079.

Adding to 61263240 its reverse (4236216), we get a palindrome (65499456).

The spelling of 61263240 in words is "sixty-one million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 59 60 68 85 102 118 120 136 170 177 204 236 255 295 340 354 408 472 509 510 590 680 708 885 1003 1018 1020 1180 1416 1527 1770 2006 2036 2040 2360 2545 3009 3054 3540 4012 4072 5015 5090 6018 6108 7080 7635 8024 8653 10030 10180 12036 12216 15045 15270 17306 20060 20360 24072 25959 30031 30090 30540 34612 40120 43265 51918 60062 60180 61080 69224 86530 90093 103836 120124 120360 129795 150155 173060 180186 207672 240248 259590 300310 346120 360372 450465 510527 519180 600620 720744 900930 1021054 1038360 1201240 1531581 1801860 2042108 2552635 3063162 3603720 4084216 5105270 6126324 7657905 10210540 12252648 15315810 20421080 30631620 61263240