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1077252096 = 2123293023
BaseRepresentation
bin100000000110101…
…1001000000000000
32210002001002001210
41000031121000000
54201234031341
6254521130120
735460330444
oct10015310000
92702032053
101077252096
11503098498
12260929940
1314224789b
14a30da824
1564890c16
hex40359000

1077252096 has 104 divisors (see below), whose sum is σ = 2972350080. Its totient is φ = 346587136.

The previous prime is 1077252061. The next prime is 1077252097. The reversal of 1077252096 is 6902527701.

It is not an unprimeable number, because it can be changed into a prime (1077252097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354841 + ... + 357863.

Almost surely, 21077252096 is an apocalyptic number.

1077252096 is a gapful number since it is divisible by the number (16) 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 1077252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486175040).

1077252096 is an abundant number, since it is smaller than the sum of its proper divisors (1895097984).

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

1077252096 is an equidigital number, since it uses as much as digits as its factorization.

1077252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1077252096 is about 32821.5187948395. The cubic root of 1077252096 is about 1025.1146716045.

Adding to 1077252096 its reverse (6902527701), we get a palindrome (7979779797).

The spelling of 1077252096 in words is "one billion, seventy-seven million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3023 3072 3712 4096 5568 6046 6144 7424 9069 11136 12092 12288 14848 18138 22272 24184 29696 36276 44544 48368 59392 72552 87667 89088 96736 118784 145104 175334 178176 193472 263001 290208 350668 356352 386944 526002 580416 701336 773888 1052004 1160832 1402672 1547776 2104008 2321664 2805344 3095552 4208016 4643328 5610688 6191104 8416032 9286656 11221376 12382208 16832064 18573312 22442752 33664128 37146624 44885504 67328256 89771008 134656512 179542016 269313024 359084032 538626048 1077252096