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61297320 = 2335772973
BaseRepresentation
bin1110100111010…
…1001010101000
311021100020010010
43221311022220
5111143003240
610025451520
71343006250
oct351651250
9137306103
1061297320
1131667647
1218640ba0
13c912606
1481d8960
1555ac280
hex3a752a8

61297320 has 64 divisors (see below), whose sum is σ = 210165120. Its totient is φ = 14010624.

The previous prime is 61297319. The next prime is 61297321. The reversal of 61297320 is 2379216.

61297320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61297319) and next prime (61297321).

It is a super-3 number, since 3×612973203 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61297321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35647 + ... + 37326.

It is an arithmetic number, because the mean of its divisors is an integer number (3283830).

Almost surely, 261297320 is an apocalyptic number.

61297320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61297320 is an abundant number, since it is smaller than the sum of its proper divisors (148867800).

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

61297320 is a wasteful number, since it uses less digits than its factorization.

61297320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72994 (or 72990 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 61297320 is about 7829.2605014778. The cubic root of 61297320 is about 394.2882445002.

The spelling of 61297320 in words is "sixty-one million, two hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 72973 145946 218919 291892 364865 437838 510811 583784 729730 875676 1021622 1094595 1459460 1532433 1751352 2043244 2189190 2554055 2918920 3064866 4086488 4378380 5108110 6129732 7662165 8756760 10216220 12259464 15324330 20432440 30648660 61297320