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103054340 = 225171013001
BaseRepresentation
bin1100010010001…
…11110000000100
321011220200222102
412021013300010
5202340214330
614120451232
72360642654
oct611076004
9234820872
10103054340
1153198284
122a619b18
1318472acc
14d988364
1590a9945
hex6247c04

103054340 has 48 divisors (see below), whose sum is σ = 231490224. Its totient is φ = 38400000.

The previous prime is 103054337. The next prime is 103054349. The reversal of 103054340 is 43450301.

It can be written as a sum of positive squares in 8 ways, for example, as 14807104 + 88247236 = 3848^2 + 9394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103054349) 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, 32840 + ... + 35840.

It is an arithmetic number, because the mean of its divisors is an integer number (4822713).

Almost surely, 2103054340 is an apocalyptic number.

103054340 is a gapful number since it is divisible by the number (10) 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 103054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115745112).

103054340 is an abundant number, since it is smaller than the sum of its proper divisors (128435884).

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

103054340 is a wasteful number, since it uses less digits than its factorization.

103054340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 103054340 is about 10151.5683517376. The cubic root of 103054340 is about 468.8372343721.

The spelling of 103054340 in words is "one hundred three million, fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3001 3434 6002 6868 8585 12004 15005 17170 30010 34340 51017 60020 102034 204068 255085 303101 510170 606202 1020340 1212404 1515505 3031010 5152717 6062020 10305434 20610868 25763585 51527170 103054340