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1120777216 = 21013591427
BaseRepresentation
bin100001011001101…
…1011010000000000
32220002221101022021
41002303123100000
54243404332331
6303114051224
736526310026
oct10263332000
92802841267
101120777216
11525716569
12273419b14
1314b276ab0
14a8bca716
15685dc211
hex42cdb400

1120777216 has 88 divisors (see below), whose sum is σ = 2455417440. Its totient is φ = 508157952.

The previous prime is 1120777199. The next prime is 1120777219. The reversal of 1120777216 is 6127770211.

It is a super-2 number, since 2×11207772162 = 2512283135809421312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120777219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784695 + ... + 786121.

Almost surely, 21120777216 is an apocalyptic number.

1120777216 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 1120777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227708720).

1120777216 is an abundant number, since it is smaller than the sum of its proper divisors (1334640224).

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

1120777216 is a wasteful number, since it uses less digits than its factorization.

1120777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The square root of 1120777216 is about 33478.0109325509. The cubic root of 1120777216 is about 1038.7389844383.

The spelling of 1120777216 in words is "one billion, one hundred twenty million, seven hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 256 416 472 512 767 832 944 1024 1427 1534 1664 1888 2854 3068 3328 3776 5708 6136 6656 7552 11416 12272 13312 15104 18551 22832 24544 30208 37102 45664 49088 60416 74204 84193 91328 98176 148408 168386 182656 196352 296816 336772 365312 392704 593632 673544 730624 785408 1094509 1187264 1347088 1461248 2189018 2374528 2694176 4378036 4749056 5388352 8756072 9498112 10776704 17512144 18996224 21553408 35024288 43106816 70048576 86213632 140097152 280194304 560388608 1120777216