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1042120304 = 243159149239
BaseRepresentation
bin111110000111010…
…111111001110000
32200121221012022022
4332013113321300
54113240322204
6251224131012
734552606421
oct7607277160
92617835268
101042120304
11495282455
12251006a68
13137b96b44
149c593648
15617515be
hex3e1d7e70

1042120304 has 80 divisors (see below), whose sum is σ = 2142720000. Its totient is φ = 490318080.

The previous prime is 1042120301. The next prime is 1042120337. The reversal of 1042120304 is 4030212401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042120301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4360217 + ... + 4360455.

It is an arithmetic number, because the mean of its divisors is an integer number (26784000).

Almost surely, 21042120304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

1042120304 is an abundant number, since it is smaller than the sum of its proper divisors (1100599696).

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

1042120304 is a wasteful number, since it uses less digits than its factorization.

1042120304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1042120304 is about 32281.8881727820. Note that the first 3 decimals coincide. The cubic root of 1042120304 is about 1013.8474639805.

Adding to 1042120304 its reverse (4030212401), we get a palindrome (5072332705).

The spelling of 1042120304 in words is "one billion, forty-two million, one hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 16 31 59 62 118 124 149 236 239 248 298 472 478 496 596 944 956 1192 1829 1912 2384 3658 3824 4619 7316 7409 8791 9238 14101 14632 14818 17582 18476 28202 29264 29636 35164 35611 36952 56404 59272 70328 71222 73904 112808 118544 140656 142444 225616 272521 284888 437131 545042 569776 874262 1090084 1103941 1748524 2101049 2180168 2207882 3497048 4202098 4360336 4415764 6994096 8404196 8831528 16808392 17663056 33616784 65132519 130265038 260530076 521060152 1042120304