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1107296256 = 225311
BaseRepresentation
bin100001000000000…
…0000000000000000
32212011120110220110
41002000000000000
54231431440011
6301513111320
736303601653
oct10200000000
92764513813
101107296256
11519049080
1226a9b8540
131485369b1
14a70bb89a
1567327ba6
hex42000000

1107296256 has 104 divisors (see below), whose sum is σ = 3221225424. Its totient is φ = 335544320.

The previous prime is 1107296251. The next prime is 1107296257. The reversal of 1107296256 is 6526927011.

It is a super-2 number, since 2×11072962562 = 2452209997103235072, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1107296251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100663291 + ... + 100663301.

Almost surely, 21107296256 is an apocalyptic number.

1107296256 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 1107296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610612712).

1107296256 is an abundant number, since it is smaller than the sum of its proper divisors (2113929168).

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

1107296256 is an frugal number, since it uses more digits than its factorization.

1107296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1107296256 is about 33276.0613053889. The cubic root of 1107296256 is about 1034.5574452793.

The spelling of 1107296256 in words is "one billion, one hundred seven million, two hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 11264 12288 16384 16896 22528 24576 32768 33792 45056 49152 65536 67584 90112 98304 131072 135168 180224 196608 262144 270336 360448 393216 524288 540672 720896 786432 1048576 1081344 1441792 1572864 2097152 2162688 2883584 3145728 4194304 4325376 5767168 6291456 8388608 8650752 11534336 12582912 16777216 17301504 23068672 25165824 33554432 34603008 46137344 50331648 69206016 92274688 100663296 138412032 184549376 276824064 369098752 553648128 1107296256