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61500114 = 23313223293
BaseRepresentation
bin1110101010011…
…0101011010010
311021201112022000
43222212223102
5111221000424
610034054430
71344512424
oct352465322
9137645260
1061500114
1131795a45
121871a416
13c983a00
14824c814
1555ec3c9
hex3aa6ad2

61500114 has 96 divisors (see below), whose sum is σ = 154949760. Its totient is φ = 18038592.

The previous prime is 61500113. The next prime is 61500149. The reversal of 61500114 is 41100516.

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

It is not an unprimeable number, because it can be changed into a prime (61500113) 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, 209752 + ... + 210044.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 261500114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61500114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77474880).

61500114 is an abundant number, since it is smaller than the sum of its proper divisors (93449646).

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

61500114 is a wasteful number, since it uses less digits than its factorization.

61500114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 61500114 is about 7842.2008390502. The cubic root of 61500114 is about 394.7225825417.

The spelling of 61500114 in words is "sixty-one million, five hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 169 207 234 293 299 338 351 414 507 586 598 621 702 879 897 1014 1242 1521 1758 1794 2637 2691 3042 3809 3887 4563 5274 5382 6739 7618 7774 7911 8073 9126 11427 11661 13478 15822 16146 20217 22854 23322 34281 34983 40434 49517 60651 68562 69966 87607 99034 102843 104949 121302 148551 175214 181953 205686 209898 262821 297102 363906 445653 525642 788463 891306 1138891 1336959 1576926 2277782 2365389 2673918 3416673 4730778 6833346 10250019 20500038 30750057 61500114