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103493940 = 223511233673
BaseRepresentation
bin1100010101100…
…11000100110100
321012202000222220
412022303010310
5202443301230
614134122340
72364453414
oct612630464
9235660886
10103493940
1153468590
122a7b03b0
1318597c24
14da60644
159144d10
hex62b3134

103493940 has 96 divisors (see below), whose sum is σ = 317955456. Its totient is φ = 24944640.

The previous prime is 103493933. The next prime is 103493941. The reversal of 103493940 is 49394301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103493941) 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, 153444 + ... + 154116.

It is an arithmetic number, because the mean of its divisors is an integer number (3312036).

Almost surely, 2103493940 is an apocalyptic number.

103493940 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 103493940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158977728).

103493940 is an abundant number, since it is smaller than the sum of its proper divisors (214461516).

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

103493940 is a wasteful number, since it uses less digits than its factorization.

103493940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

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

The square root of 103493940 is about 10173.1971375768. The cubic root of 103493940 is about 469.5029300469.

The spelling of 103493940 in words is "one hundred three million, four hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 330 466 660 673 699 932 1165 1346 1398 2019 2330 2563 2692 2796 3365 3495 4038 4660 5126 6730 6990 7403 7689 8076 10095 10252 12815 13460 13980 14806 15378 20190 22209 25630 29612 30756 37015 38445 40380 44418 51260 74030 76890 88836 111045 148060 153780 156809 222090 313618 444180 470427 627236 784045 940854 1568090 1724899 1881708 2352135 3136180 3449798 4704270 5174697 6899596 8624495 9408540 10349394 17248990 20698788 25873485 34497980 51746970 103493940