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1011340240 = 24537595791
BaseRepresentation
bin111100010001111…
…101001111010000
32121111000101222221
4330101331033100
54032400341430
6244204310424
734030151551
oct7421751720
92544011887
101011340240
11479969989
12242842414
131316aaaa1
1498460328
155dbc157a
hex3c47d3d0

1011340240 has 80 divisors (see below), whose sum is σ = 2456271360. Its totient is φ = 386864640.

The previous prime is 1011340159. The next prime is 1011340283. The reversal of 1011340240 is 420431101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171745 + ... + 177535.

It is an arithmetic number, because the mean of its divisors is an integer number (30703392).

Almost surely, 21011340240 is an apocalyptic number.

1011340240 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 1011340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228135680).

1011340240 is an abundant number, since it is smaller than the sum of its proper divisors (1444931120).

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

1011340240 is a wasteful number, since it uses less digits than its factorization.

1011340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1011340240 is about 31801.5760615728. The cubic root of 1011340240 is about 1003.7658803429.

Adding to 1011340240 its reverse (420431101), we get a palindrome (1431771341).

The spelling of 1011340240 in words is "one billion, eleven million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 59 74 80 118 148 185 236 295 296 370 472 590 592 740 944 1180 1480 2183 2360 2960 4366 4720 5791 8732 10915 11582 17464 21830 23164 28955 34928 43660 46328 57910 87320 92656 115820 174640 214267 231640 341669 428534 463280 683338 857068 1071335 1366676 1708345 1714136 2142670 2733352 3416690 3428272 4285340 5466704 6833380 8570680 12641753 13666760 17141360 25283506 27333520 50567012 63208765 101134024 126417530 202268048 252835060 505670120 1011340240