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61800102 = 232713291301
BaseRepresentation
bin1110101110111…
…1111010100110
311022021202210200
43223233322212
5111310100402
610044331330
71350202140
oct353577246
9138252720
1061800102
1131980371
1218843b46
13ca5a410
1482c9c90
15565b21c
hex3aefea6

61800102 has 96 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 15724800.

The previous prime is 61800077. The next prime is 61800107. The reversal of 61800102 is 20100816.

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 (61800107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46852 + ... + 48152.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 261800102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61800102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

61800102 is an abundant number, since it is smaller than the sum of its proper divisors (108813978).

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

61800102 is a wasteful number, since it uses less digits than its factorization.

61800102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 61800102 is about 7861.3040902893. The cubic root of 61800102 is about 395.3633403041.

Adding to 61800102 its reverse (20100816), we get a palindrome (81900918).

The spelling of 61800102 in words is "sixty-one million, eight hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 522 546 609 754 819 1131 1218 1301 1638 1827 2262 2602 2639 3393 3654 3903 5278 6786 7806 7917 9107 11709 15834 16913 18214 23418 23751 27321 33826 37729 47502 50739 54642 75458 81963 101478 113187 118391 152217 163926 226374 236782 264103 304434 339561 355173 490477 528206 679122 710346 792309 980954 1065519 1471431 1584618 2131038 2376927 2942862 3433339 4414293 4753854 6866678 8828586 10300017 20600034 30900051 61800102