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1136640240 = 243251997933
BaseRepresentation
bin100001110111111…
…1100000011110000
32221012210022021200
41003233330003300
54311434441430
6304442051200
740111165641
oct10357740360
92835708250
101136640240
115336706aa
122787a9b00
1315163c1b8
14aad596c8
1569bc2460
hex43bfc0f0

1136640240 has 120 divisors (see below), whose sum is σ = 3836882400. Its totient is φ = 301542912.

The previous prime is 1136640209. The next prime is 1136640257. The reversal of 1136640240 is 420466311.

1136640240 is a `hidden beast` number, since 1 + 13 + 6 + 640 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139314 + ... + 147246.

It is an arithmetic number, because the mean of its divisors is an integer number (31974020).

Almost surely, 21136640240 is an apocalyptic number.

1136640240 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 1136640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918441200).

1136640240 is an abundant number, since it is smaller than the sum of its proper divisors (2700242160).

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

1136640240 is a wasteful number, since it uses less digits than its factorization.

1136640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1136640240 is about 33714.0955684711. The cubic root of 1136640240 is about 1043.6166734691.

The spelling of 1136640240 in words is "one billion, one hundred thirty-six million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 720 796 995 1194 1592 1791 1990 2388 2985 3184 3582 3980 4776 5970 7164 7933 7960 8955 9552 11940 14328 15866 15920 17910 23799 23880 28656 31732 35820 39665 47598 47760 63464 71397 71640 79330 95196 118995 126928 142794 143280 158660 190392 237990 285588 317320 356985 380784 475980 571176 634640 713970 951960 1142352 1427940 1578667 1903920 2855880 3157334 4736001 5711760 6314668 7893335 9472002 12629336 14208003 15786670 18944004 23680005 25258672 28416006 31573340 37888008 47360010 56832012 63146680 71040015 75776016 94720020 113664024 126293360 142080030 189440040 227328048 284160060 378880080 568320120 1136640240