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11040037080 = 2335711817159
BaseRepresentation
bin10100100100000100…
…11001100011011000
31001111101202222210020
422102002121203120
5140102222141310
65023254150440
7540403524012
oct122202314330
931441688706
1011040037080
1147558a4296
122181352420
13106c305027
1476a3331b2
1544934c170
hex2920998d8

11040037080 has 128 divisors (see below), whose sum is σ = 33776870400. Its totient is φ = 2886105600.

The previous prime is 11040037079. The next prime is 11040037087. The reversal of 11040037080 is 8073004011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11040037080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040037087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538541 + ... + 1545699.

It is an arithmetic number, because the mean of its divisors is an integer number (263881800).

Almost surely, 211040037080 is an apocalyptic number.

11040037080 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 11040037080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888435200).

11040037080 is an abundant number, since it is smaller than the sum of its proper divisors (22736833320).

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

11040037080 is a wasteful number, since it uses less digits than its factorization.

11040037080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 11040037080 in words is "eleven billion, forty million, thirty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 181 213 284 355 362 426 543 568 710 724 852 905 1065 1086 1420 1448 1704 1810 2130 2172 2715 2840 3620 4260 4344 5430 7159 7240 8520 10860 12851 14318 21477 21720 25702 28636 35795 38553 42954 51404 57272 64255 71590 77106 85908 102808 107385 128510 143180 154212 171816 192765 214770 257020 286360 308424 385530 429540 508289 514040 771060 859080 1016578 1295779 1524867 1542120 2033156 2541445 2591558 3049734 3887337 4066312 5082890 5183116 6099468 6478895 7624335 7774674 10165780 10366232 12198936 12957790 15248670 15549348 19436685 20331560 25915580 30497340 31098696 38873370 51831160 60994680 77746740 92000309 155493480 184000618 276000927 368001236 460001545 552001854 736002472 920003090 1104003708 1380004635 1840006180 2208007416 2760009270 3680012360 5520018540 11040037080