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61316320 = 2551341719
BaseRepresentation
bin1110100111100…
…1110011100000
311021101012011211
43221321303200
5111144110240
610030115504
71343115532
oct351716340
9137335154
1061316320
113167a94a
121864bb94
13c91b160
148201852
1555b2bea
hex3a79ce0

61316320 has 96 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 22056960.

The previous prime is 61316317. The next prime is 61316327. The reversal of 61316320 is 2361316.

It is a junction number, because it is equal to n+sod(n) for n = 61316291 and 61316300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61316327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84921 + ... + 85639.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 261316320 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 61316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

61316320 is an abundant number, since it is smaller than the sum of its proper divisors (98713760).

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

61316320 is a wasteful number, since it uses less digits than its factorization.

61316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 61316320 is about 7830.4738043109. The cubic root of 61316320 is about 394.3289787593.

Adding to 61316320 its reverse (2361316), we get a palindrome (63677636).

The spelling of 61316320 in words is "sixty-one million, three hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 328 410 416 520 533 656 719 820 1040 1066 1312 1438 1640 2080 2132 2665 2876 3280 3595 4264 5330 5752 6560 7190 8528 9347 10660 11504 14380 17056 18694 21320 23008 28760 29479 37388 42640 46735 57520 58958 74776 85280 93470 115040 117916 147395 149552 186940 235832 294790 299104 373880 383227 471664 589580 747760 766454 943328 1179160 1495520 1532908 1916135 2358320 3065816 3832270 4716640 6131632 7664540 12263264 15329080 30658160 61316320