Search a number
-
+
103363890 = 2357618069
BaseRepresentation
bin1100010100100…
…11010100110010
321012111102121020
412022103110302
5202430121030
614131240310
72363402310
oct612232462
9235442536
10103363890
1153389903
122a749096
1318550986
14da290b0
15911b510
hex6293532

103363890 has 64 divisors (see below), whose sum is σ = 288195840. Its totient is φ = 23235840.

The previous prime is 103363853. The next prime is 103363891. The reversal of 103363890 is 98363301.

It is not an unprimeable number, because it can be changed into a prime (103363891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8776 + ... + 16844.

It is an arithmetic number, because the mean of its divisors is an integer number (4503060).

Almost surely, 2103363890 is an apocalyptic number.

103363890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103363890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144097920).

103363890 is an abundant number, since it is smaller than the sum of its proper divisors (184831950).

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

103363890 is a wasteful number, since it uses less digits than its factorization.

103363890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 103363890 is about 10166.8033324148. The cubic root of 103363890 is about 469.3061892221.

The spelling of 103363890 in words is "one hundred three million, three hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2562 4270 6405 8069 12810 16138 24207 40345 48414 56483 80690 112966 121035 169449 242070 282415 338898 492209 564830 847245 984418 1476627 1694490 2461045 2953254 3445463 4922090 6890926 7383135 10336389 14766270 17227315 20672778 34454630 51681945 103363890