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1080042496 = 210132792
BaseRepresentation
bin100000001100000…
…0010010000000000
32210021021211202221
41000120002100000
54202442324441
6255101020424
735523131641
oct10030022000
92707254687
101080042496
11504723a05
12261854714
131429b3a00
14a36256c8
1564c428d1
hex40602400

1080042496 has 99 divisors (see below), whose sum is σ = 2367852921. Its totient is φ = 492171264.

The previous prime is 1080042493. The next prime is 1080042497. The reversal of 1080042496 is 6942400801.

The square root of 1080042496 is 32864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159769600 + 920272896 = 12640^2 + 30336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1080042493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13671385 + ... + 13671463.

Almost surely, 21080042496 is an apocalyptic number.

1080042496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1080042496 is the 32864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080042496

1080042496 is an abundant number, since it is smaller than the sum of its proper divisors (1287810425).

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

1080042496 is an frugal number, since it uses more digits than its factorization.

1080042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 1080042496 is about 1025.9990247069. Note that the first 3 decimals are identical.

The spelling of 1080042496 in words is "one billion, eighty million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 169 208 256 316 338 416 512 632 676 832 1024 1027 1264 1352 1664 2054 2528 2704 3328 4108 5056 5408 6241 6656 8216 10112 10816 12482 13312 13351 16432 20224 21632 24964 26702 32864 40448 43264 49928 53404 65728 80896 81133 86528 99856 106808 131456 162266 173056 199712 213616 262912 324532 399424 427232 525824 649064 798848 854464 1051648 1054729 1298128 1597696 1708928 2109458 2596256 3195392 3417856 4218916 5192512 6390784 6835712 8437832 10385024 13671424 16875664 20770048 33751328 41540096 67502656 83080192 135005312 270010624 540021248 1080042496