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61057530 = 23351012239
BaseRepresentation
bin1110100011101…
…0100111111010
311020220001012000
43220322213322
5111112320110
610020401430
71340660202
oct350724772
9136801160
1061057530
1131513476
1218546276
13c85a421
148175402
1555611c0
hex3a3a9fa

61057530 has 64 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16113600.

The previous prime is 61057519. The next prime is 61057567. The reversal of 61057530 is 3575016.

61057530 is a `hidden beast` number, since 61 + 0 + 575 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61057494 and 61057503.

It is a congruent 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, 26151 + ... + 28389.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 261057530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61057530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

61057530 is an abundant number, since it is smaller than the sum of its proper divisors (103448070).

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

61057530 is a wasteful number, since it uses less digits than its factorization.

61057530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 61057530 is about 7813.9317887988. The cubic root of 61057530 is about 393.7734317121.

The spelling of 61057530 in words is "sixty-one million, fifty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2239 2727 3030 4478 4545 5454 6717 9090 11195 13434 13635 20151 22390 27270 33585 40302 60453 67170 100755 120906 201510 226139 302265 452278 604530 678417 1130695 1356834 2035251 2261390 3392085 4070502 6105753 6784170 10176255 12211506 20352510 30528765 61057530