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61950420 = 223657607
BaseRepresentation
bin1110110001010…
…0100111010100
311022120102000000
43230110213110
5111324403140
610051451300
71351366320
oct354244724
9138512000
1061950420
1131a732a4
12188b6b30
13cab096c
148328980
15568aa30
hex3b149d4

61950420 has 168 divisors, whose sum is σ = 223286784. Its totient is φ = 14136768.

The previous prime is 61950419. The next prime is 61950433. The reversal of 61950420 is 2405916.

61950420 is a `hidden beast` number, since 619 + 5 + 0 + 42 + 0 = 666.

61950420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 101757 + ... + 102363.

It is an arithmetic number, because the mean of its divisors is an integer number (1329088).

Almost surely, 261950420 is an apocalyptic number.

61950420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61950420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111643392).

61950420 is an abundant number, since it is smaller than the sum of its proper divisors (161336364).

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

61950420 is a wasteful number, since it uses less digits than its factorization.

61950420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61950420 is about 7870.8589111990. The cubic root of 61950420 is about 395.6836316149.

The spelling of 61950420 in words is "sixty-one million, nine hundred fifty thousand, four hundred twenty".