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61000320 = 273531771
BaseRepresentation
bin1110100010110…
…0101010000000
311020210010201010
43220230222000
5111104002240
610015240520
71340331333
oct350545200
9136703633
1061000320
1131484497
1218519140
13c83a384
14815c61a
15554e280
hex3a2ca80

61000320 has 64 divisors (see below), whose sum is σ = 194444640. Its totient is φ = 16266240.

The previous prime is 61000283. The next prime is 61000337. The reversal of 61000320 is 2300016.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 61000296 and 61000305.

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, 13966 + ... + 17805.

Almost surely, 261000320 is an apocalyptic number.

61000320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61000320 is an abundant number, since it is smaller than the sum of its proper divisors (133444320).

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

61000320 is a wasteful number, since it uses less digits than its factorization.

61000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31793 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 61000320 is about 7810.2701617806. The cubic root of 61000320 is about 393.6504066582.

Adding to 61000320 its reverse (2300016), we get a palindrome (63300336).

The spelling of 61000320 in words is "sixty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 31771 63542 95313 127084 158855 190626 254168 317710 381252 476565 508336 635420 762504 953130 1016672 1270840 1525008 1906260 2033344 2541680 3050016 3812520 4066688 5083360 6100032 7625040 10166720 12200064 15250080 20333440 30500160 61000320