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1116384420 = 22354728423
BaseRepresentation
bin100001010001010…
…1010110010100100
32212210200012112010
41002202222302210
54241243300140
6302435554220
736444053034
oct10242526244
92783605463
101116384420
11523196158
12271a5b970
1314a3994c8
14a83a58c4
1568020880
hex428aaca4

1116384420 has 72 divisors (see below), whose sum is σ = 3194178624. Its totient is φ = 291333824.

The previous prime is 1116384413. The next prime is 1116384427. The reversal of 1116384420 is 244836111.

It is an interprime number because it is at equal distance from previous prime (1116384413) and next prime (1116384427).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1116384427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128329 + ... + 136751.

It is an arithmetic number, because the mean of its divisors is an integer number (44363592).

Almost surely, 21116384420 is an apocalyptic number.

1116384420 is a gapful number since it is divisible by the number (10) 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 1116384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597089312).

1116384420 is an abundant number, since it is smaller than the sum of its proper divisors (2077794204).

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

1116384420 is a wasteful number, since it uses less digits than its factorization.

1116384420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1116384420 is about 33412.3393374364. The cubic root of 1116384420 is about 1037.3801229860.

The spelling of 1116384420 in words is "one billion, one hundred sixteen million, three hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2209 2820 4418 6627 8423 8836 11045 13254 16846 22090 25269 26508 33135 33692 42115 44180 50538 66270 84230 101076 126345 132540 168460 252690 395881 505380 791762 1187643 1583524 1979405 2375286 3958810 4750572 5938215 7917620 11876430 18606407 23752860 37212814 55819221 74425628 93032035 111638442 186064070 223276884 279096105 372128140 558192210 1116384420