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1816115040 = 25335420397
BaseRepresentation
bin110110000111111…
…1011011101100000
311200120100012111000
41230033323131200
512204411140130
6500113352000
763001503015
oct15417733540
94616305430
101816115040
11852171123
12428268600
1322c3430ac
141332ad70c
15a968d260
hex6c3fb760

1816115040 has 96 divisors (see below), whose sum is σ = 6356417760. Its totient is φ = 484296192.

The previous prime is 1816115039. The next prime is 1816115047. The reversal of 1816115040 is 405116181.

1816115040 is a `hidden beast` number, since 1 + 8 + 1 + 611 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1816114995 and 1816115013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816115047) 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, 205879 + ... + 214518.

It is an arithmetic number, because the mean of its divisors is an integer number (66212685).

Almost surely, 21816115040 is an apocalyptic number.

1816115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1816115040 is an abundant number, since it is smaller than the sum of its proper divisors (4540302720).

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

1816115040 is a wasteful number, since it uses less digits than its factorization.

1816115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420421 (or 420407 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1816115040 is about 42615.9012576292. The cubic root of 1816115040 is about 1220.0598017806.

The spelling of 1816115040 in words is "one billion, eight hundred sixteen million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 420397 840794 1261191 1681588 2101985 2522382 3363176 3783573 4203970 5044764 6305955 6726352 7567146 8407940 10089528 11350719 12611910 13452704 15134292 16815880 18917865 20179056 22701438 25223820 30268584 33631760 37835730 40358112 45402876 50447640 56753595 60537168 67263520 75671460 90805752 100895280 113507190 121074336 151342920 181611504 201790560 227014380 302685840 363223008 454028760 605371680 908057520 1816115040