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1116504640 = 26523295231
BaseRepresentation
bin100001010001100…
…1000001001000000
32212210220022102201
41002203020021000
54241311122030
6302442322544
736445063366
oct10243101100
92783808381
101116504640
11523268509
12271ab9454
1314a40c144
14a83d7636
15680462ca
hex428c8240

1116504640 has 112 divisors (see below), whose sum is σ = 2870484480. Its totient is φ = 412375040.

The previous prime is 1116504593. The next prime is 1116504643. The reversal of 1116504640 is 464056111.

It is a super-2 number, since 2×11165046402 = 2493165222283059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1116504599 and 1116504608.

It is not an unprimeable number, because it can be changed into a prime (1116504643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210825 + ... + 216055.

Almost surely, 21116504640 is an apocalyptic number.

1116504640 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 1116504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435242240).

1116504640 is an abundant number, since it is smaller than the sum of its proper divisors (1753979840).

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

1116504640 is a wasteful number, since it uses less digits than its factorization.

1116504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1116504640 is about 33414.1383249666. The cubic root of 1116504640 is about 1037.4173590729.

The spelling of 1116504640 in words is "one billion, one hundred sixteen million, five hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 145 160 184 230 232 290 320 368 460 464 580 667 736 920 928 1160 1334 1472 1840 1856 2320 2668 3335 3680 4640 5231 5336 6670 7360 9280 10462 10672 13340 20924 21344 26155 26680 41848 42688 52310 53360 83696 104620 106720 120313 151699 167392 209240 213440 240626 303398 334784 418480 481252 601565 606796 758495 836960 962504 1203130 1213592 1516990 1673920 1925008 2406260 2427184 3033980 3489077 3850016 4812520 4854368 6067960 6978154 7700032 9625040 9708736 12135920 13956308 17445385 19250080 24271840 27912616 34890770 38500160 48543680 55825232 69781540 111650464 139563080 223300928 279126160 558252320 1116504640