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61057360 = 2457138387
BaseRepresentation
bin1110100011101…
…0100101010000
311020220000221201
43220322211100
5111112313420
610020400544
71340656540
oct350724520
9136800851
1061057360
1131513331
1218546154
13c85a320
148175320
15556110a
hex3a3a950

61057360 has 80 divisors (see below), whose sum is σ = 174738816. Its totient is φ = 19321344.

The previous prime is 61057357. The next prime is 61057411. The reversal of 61057360 is 6375016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 11473.

Almost surely, 261057360 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 61057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87369408).

61057360 is an abundant number, since it is smaller than the sum of its proper divisors (113681456).

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

61057360 is a wasteful number, since it uses less digits than its factorization.

61057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 61057360 is about 7813.9209107848. The cubic root of 61057360 is about 393.7730662560.

It can be divided in two parts, 610 and 57360, that added together give a triangular number (57970 = T340).

The spelling of 61057360 in words is "sixty-one million, fifty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 8387 16774 33548 41935 58709 67096 83870 109031 117418 134192 167740 218062 234836 293545 335480 436124 469672 545155 587090 670960 763217 872248 939344 1090310 1174180 1526434 1744496 2180620 2348360 3052868 3816085 4361240 4696720 6105736 7632170 8722480 12211472 15264340 30528680 61057360