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61326072 = 23341719293
BaseRepresentation
bin1110100111110…
…0001011111000
311021101200120000
43221330023320
5111144413242
610030233000
71343156133
oct351741370
9137350500
1061326072
1131687205
1218655760
13c922722
14820521a
1555b5a4c
hex3a7c2f8

61326072 has 160 divisors (see below), whose sum is σ = 192099600. Its totient is φ = 18164736.

The previous prime is 61326071. The next prime is 61326079. The reversal of 61326072 is 27062316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61326071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209158 + ... + 209450.

Almost surely, 261326072 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 61326072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96049800).

61326072 is an abundant number, since it is smaller than the sum of its proper divisors (130773528).

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

61326072 is a wasteful number, since it uses less digits than its factorization.

61326072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61326072 is about 7831.0964749516. The cubic root of 61326072 is about 394.3498828860.

Adding to 61326072 its reverse (27062316), we get a palindrome (88388388).

The spelling of 61326072 in words is "sixty-one million, three hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 228 293 306 323 324 342 408 456 459 513 586 612 646 648 684 879 918 969 1026 1172 1224 1292 1368 1377 1539 1758 1836 1938 2052 2344 2584 2637 2754 2907 3078 3516 3672 3876 4104 4981 5274 5508 5567 5814 6156 7032 7752 7911 8721 9962 10548 11016 11134 11628 12312 14943 15822 16701 17442 19924 21096 22268 23256 23733 26163 29886 31644 33402 34884 39848 44536 44829 47466 50103 52326 59772 63288 66804 69768 89658 94639 94932 100206 104652 119544 133608 134487 150309 179316 189278 189864 200412 209304 268974 283917 300618 358632 378556 400824 403461 450927 537948 567834 601236 757112 806922 851751 901854 1075896 1135668 1202472 1613844 1703502 1803708 2271336 2555253 3227688 3407004 3607416 5110506 6814008 7665759 10221012 15331518 20442024 30663036 61326072