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1040105120 = 25511935449
BaseRepresentation
bin111101111111101…
…011111010100000
32200111010210222212
4331333223322200
54112231330440
6251113021252
734526514305
oct7577537240
92614123885
101040105120
1149412640a
122503b4828
1313763c822
149c1cb0ac
15614a4465
hex3dfebea0

1040105120 has 48 divisors (see below), whose sum is σ = 2459759400. Its totient is φ = 415617024.

The previous prime is 1040105107. The next prime is 1040105161. The reversal of 1040105120 is 215010401.

It can be written as a sum of positive squares in 4 ways, for example, as 622801936 + 417303184 = 24956^2 + 20428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1040105095 and 1040105104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188156 + ... + 193604.

Almost surely, 21040105120 is an apocalyptic number.

1040105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040105120 is an abundant number, since it is smaller than the sum of its proper divisors (1419654280).

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

1040105120 is a wasteful number, since it uses less digits than its factorization.

1040105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1040105120 is about 32250.6607684246. The cubic root of 1040105120 is about 1013.1935383485.

Adding to 1040105120 its reverse (215010401), we get a palindrome (1255115521).

The spelling of 1040105120 in words is "one billion, forty million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1193 2386 4772 5449 5965 9544 10898 11930 19088 21796 23860 27245 38176 43592 47720 54490 87184 95440 108980 174368 190880 217960 435920 871840 6500657 13001314 26002628 32503285 52005256 65006570 104010512 130013140 208021024 260026280 520052560 1040105120