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61158420 = 22325339769
BaseRepresentation
bin1110100101001…
…1010000010100
311021002011120200
43221103100110
5111124032140
610022500500
71341560301
oct351232024
9137064520
1061158420
1131582254
1218594730
13c89431b
1481a00a8
155581030
hex3a53414

61158420 has 36 divisors (see below), whose sum is σ = 185514420. Its totient is φ = 16308864.

The previous prime is 61158389. The next prime is 61158439. The reversal of 61158420 is 2485116.

61158420 is a `hidden beast` number, since 61 + 1 + 584 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 52794756 = 2892^2 + 7266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169705 + ... + 170064.

Almost surely, 261158420 is an apocalyptic number.

61158420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61158420 is an abundant number, since it is smaller than the sum of its proper divisors (124356000).

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

61158420 is a wasteful number, since it uses less digits than its factorization.

61158420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339784 (or 339779 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61158420 is about 7820.3849010135. The cubic root of 61158420 is about 393.9901996240.

It can be divided in two parts, 6115 and 8420, that added together give a triangular number (14535 = T170).

The spelling of 61158420 in words is "sixty-one million, one hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 339769 679538 1019307 1359076 1698845 2038614 3057921 3397690 4077228 5096535 6115842 6795380 10193070 12231684 15289605 20386140 30579210 61158420