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61605138 = 2377173283
BaseRepresentation
bin1110101100000…
…0010100010010
311021220212100210
43223000110102
5111232331023
610040224550
71345430550
oct353002422
9137825323
1061605138
1131857941
121876b156
13c9bc75a
148278bd0
15561d593
hex3ac0512

61605138 has 64 divisors (see below), whose sum is σ = 145262592. Its totient is φ = 17055360.

The previous prime is 61605113. The next prime is 61605169. The reversal of 61605138 is 83150616.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217545 + ... + 217827.

It is an arithmetic number, because the mean of its divisors is an integer number (2269728).

Almost surely, 261605138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61605138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72631296).

61605138 is an abundant number, since it is smaller than the sum of its proper divisors (83657454).

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

61605138 is a wasteful number, since it uses less digits than its factorization.

61605138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 61605138 is about 7848.8940622230. The cubic root of 61605138 is about 394.9471445593.

The spelling of 61605138 in words is "sixty-one million, six hundred five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 71 73 142 146 213 219 283 426 438 497 511 566 849 994 1022 1491 1533 1698 1981 2982 3066 3962 5183 5943 10366 11886 15549 20093 20659 31098 36281 40186 41318 60279 61977 72562 108843 120558 123954 140651 144613 217686 281302 289226 421953 433839 843906 867678 1466789 2933578 4400367 8800734 10267523 20535046 30802569 61605138