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61305216 = 273722807
BaseRepresentation
bin1110100111011…
…1000110000000
311021100121221120
43221313012000
5111143231331
610025552240
71343041260
oct351670600
9137317846
1061305216
1131672575
1218645680
13c91609b
1481db7a0
1555ae796
hex3a77180

61305216 has 64 divisors (see below), whose sum is σ = 186113280. Its totient is φ = 17515008.

The previous prime is 61305187. The next prime is 61305221. The reversal of 61305216 is 61250316.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8716 + ... + 14091.

It is an arithmetic number, because the mean of its divisors is an integer number (2908020).

Almost surely, 261305216 is an apocalyptic number.

It is an amenable number.

61305216 is an abundant number, since it is smaller than the sum of its proper divisors (124808064).

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

61305216 is a wasteful number, since it uses less digits than its factorization.

61305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22831 (or 22819 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61305216 is about 7829.7647474238. The cubic root of 61305216 is about 394.3051738228.

The spelling of 61305216 in words is "sixty-one million, three hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 22807 45614 68421 91228 136842 159649 182456 273684 319298 364912 478947 547368 638596 729824 957894 1094736 1277192 1459648 1915788 2189472 2554384 2919296 3831576 4378944 5108768 7663152 8757888 10217536 15326304 20435072 30652608 61305216