Search a number
-
+
1035397120 = 2115101113
BaseRepresentation
bin111101101101101…
…110100000000000
32200011021121211111
4331231232200000
54110030201440
6250424053104
734441505332
oct7555564000
92604247744
101035397120
114915001aa
1224a904194
13136681924
149b723452
1560d744ea
hex3db6e800

1035397120 has 48 divisors (see below), whose sum is σ = 2484370980. Its totient is φ = 414154752.

The previous prime is 1035397093. The next prime is 1035397123. The reversal of 1035397120 is 217935301.

It can be written as a sum of positive squares in 2 ways, for example, as 872375296 + 163021824 = 29536^2 + 12768^2 .

It is a super-2 number, since 2×10353971202 = 2144094392208588800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1035397123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40317 + ... + 60796.

Almost surely, 21035397120 is an apocalyptic number.

1035397120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035397120 is an abundant number, since it is smaller than the sum of its proper divisors (1448973860).

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

1035397120 is an equidigital number, since it uses as much as digits as its factorization.

1035397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101140 (or 101120 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 1035397120 is about 32177.5872308661. The cubic root of 1035397120 is about 1011.6624974007.

The spelling of 1035397120 in words is "one billion, thirty-five million, three hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 101113 202226 404452 505565 808904 1011130 1617808 2022260 3235616 4044520 6471232 8089040 12942464 16178080 25884928 32356160 51769856 64712320 103539712 129424640 207079424 258849280 517698560 1035397120