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61003072 = 26131719227
BaseRepresentation
bin1110100010110…
…1010101000000
311020210021111001
43220231111000
5111104044242
610015301344
71340342344
oct350552500
9136707431
1061003072
1131486569
121851a854
13c83b6c0
14815d624
15554eeb7
hex3a2d540

61003072 has 112 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 24993792.

The previous prime is 61003067. The next prime is 61003079. The reversal of 61003072 is 27030016.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61003079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268623 + ... + 268849.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 261003072 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 61003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

61003072 is an abundant number, since it is smaller than the sum of its proper divisors (84935168).

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

61003072 is a wasteful number, since it uses less digits than its factorization.

61003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 61003072 is about 7810.4463380783. The cubic root of 61003072 is about 393.6563263519.

Adding to 61003072 its reverse (27030016), we get a palindrome (88033088).

The spelling of 61003072 in words is "sixty-one million, three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 64 68 76 104 136 152 208 221 227 247 272 304 323 416 442 454 494 544 608 646 832 884 908 988 1088 1216 1292 1768 1816 1976 2584 2951 3536 3632 3859 3952 4199 4313 5168 5902 7072 7264 7718 7904 8398 8626 10336 11804 14144 14528 15436 15808 16796 17252 20672 23608 30872 33592 34504 47216 50167 56069 61744 67184 69008 73321 94432 100334 112138 123488 134368 138016 146642 188864 200668 224276 246976 268736 276032 293284 401336 448552 586568 802672 897104 953173 1173136 1605344 1794208 1906346 2346272 3210688 3588416 3812692 4692544 7625384 15250768 30501536 61003072