Search a number
-
+
103053330 = 23351013779
BaseRepresentation
bin1100010010001…
…11100000010010
321011220122121000
412021013200102
5202340201310
614120442430
72360640012
oct611074022
9234818530
10103053330
1153197546
122a619416
1318472503
14d987c42
1590a94c0
hex6247812

103053330 has 64 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 27201600.

The previous prime is 103053329. The next prime is 103053341. The reversal of 103053330 is 33350301.

103053330 is a `hidden beast` number, since 103 + 0 + 533 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25381 + ... + 29159.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2103053330 is an apocalyptic number.

103053330 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 103053330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

103053330 is an abundant number, since it is smaller than the sum of its proper divisors (174549870).

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

103053330 is a wasteful number, since it uses less digits than its factorization.

103053330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 103053330 is about 10151.5186056077. The cubic root of 103053330 is about 468.8357027298.

The spelling of 103053330 in words is "one hundred three million, fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 3779 4545 5454 7558 9090 11337 13635 18895 22674 27270 34011 37790 56685 68022 102033 113370 170055 204066 340110 381679 510165 763358 1020330 1145037 1908395 2290074 3435111 3816790 5725185 6870222 10305333 11450370 17175555 20610666 34351110 51526665 103053330