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1103398740 = 2233510120231
BaseRepresentation
bin100000111000100…
…1000011101010100
32211220020110112000
41001301020131110
54224432224430
6301253355300
736225506643
oct10161103524
92756213460
101103398740
11516926894
12269638b30
131477a0982
14a678535a
1566d07e60
hex41c48754

1103398740 has 96 divisors (see below), whose sum is σ = 3466955520. Its totient is φ = 291312000.

The previous prime is 1103398739. The next prime is 1103398741. The reversal of 1103398740 is 478933011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1103398739) and next prime (1103398741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1103398695 and 1103398704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103398741) 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, 44425 + ... + 64655.

It is an arithmetic number, because the mean of its divisors is an integer number (36114120).

Almost surely, 21103398740 is an apocalyptic number.

1103398740 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 1103398740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733477760).

1103398740 is an abundant number, since it is smaller than the sum of its proper divisors (2363556780).

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

1103398740 is a wasteful number, since it uses less digits than its factorization.

1103398740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 20342 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1103398740 is about 33217.4463196676. The cubic root of 1103398740 is about 1033.3421895414.

The spelling of 1103398740 in words is "one billion, one hundred three million, three hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 20231 27270 40462 54540 60693 80924 101155 121386 182079 202310 242772 303465 364158 404620 546237 606930 728316 910395 1092474 1213860 1820790 2043331 2184948 2731185 3641580 4086662 5462370 6129993 8173324 10216655 10924740 12259986 18389979 20433310 24519972 30649965 36779958 40866620 55169937 61299930 73559916 91949895 110339874 122599860 183899790 220679748 275849685 367799580 551699370 1103398740