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103162120 = 23517211719
BaseRepresentation
bin1100010011000…
…10000100001000
321012010011211021
412021202010020
5202402141440
614123042224
72361602125
oct611420410
9235104737
10103162120
1153261256
122a670374
13184acb99
14d9b574c
1590cb84a
hex6262108

103162120 has 64 divisors (see below), whose sum is σ = 247276800. Its totient is φ = 38599680.

The previous prime is 103162099. The next prime is 103162123. The reversal of 103162120 is 21261301.

It is a junction number, because it is equal to n+sod(n) for n = 103162094 and 103162103.

It is not an unprimeable number, because it can be changed into a prime (103162123) 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, 143121 + ... + 143839.

It is an arithmetic number, because the mean of its divisors is an integer number (3863700).

Almost surely, 2103162120 is an apocalyptic number.

103162120 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 103162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123638400).

103162120 is an abundant number, since it is smaller than the sum of its proper divisors (144114680).

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

103162120 is a wasteful number, since it uses less digits than its factorization.

103162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 103162120 is about 10156.8755038151. The cubic root of 103162120 is about 469.0006228369. Note that the first 3 decimals are identical.

The spelling of 103162120 in words is "one hundred three million, one hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 211 340 422 680 719 844 1055 1438 1688 2110 2876 3587 3595 4220 5752 7174 7190 8440 12223 14348 14380 17935 24446 28696 28760 35870 48892 61115 71740 97784 122230 143480 151709 244460 303418 488920 606836 758545 1213672 1517090 2579053 3034180 5158106 6068360 10316212 12895265 20632424 25790530 51581060 103162120