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36140040 = 23335109307
BaseRepresentation
bin1000100111011…
…1010000001000
32112000002211000
42021313100020
533222440130
63330335000
7616120356
oct211672010
975002730
1036140040
1119444602
121012a460
137644951
144b2a7d6
15328d260
hex2277408

36140040 has 128 divisors (see below), whose sum is σ = 121968000. Its totient is φ = 9517824.

The previous prime is 36140029. The next prime is 36140053. The reversal of 36140040 is 4004163.

It is a super-2 number, since 2×361400402 = 2612204982403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36139995 and 36140022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117567 + ... + 117873.

It is an arithmetic number, because the mean of its divisors is an integer number (952875).

Almost surely, 236140040 is an apocalyptic number.

36140040 is a gapful number since it is divisible by the number (30) 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 36140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984000).

36140040 is an abundant number, since it is smaller than the sum of its proper divisors (85827960).

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

36140040 is a wasteful number, since it uses less digits than its factorization.

36140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36140040 is about 6011.6586729454. The cubic root of 36140040 is about 330.6203208184.

It can be divided in two parts, 361 and 40040, that added together give a square (40401 = 2012).

The spelling of 36140040 in words is "thirty-six million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 216 218 270 307 327 360 436 540 545 614 654 872 921 981 1080 1090 1228 1308 1535 1635 1842 1962 2180 2456 2616 2763 2943 3070 3270 3684 3924 4360 4605 4905 5526 5886 6140 6540 7368 7848 8289 9210 9810 11052 11772 12280 13080 13815 14715 16578 18420 19620 22104 23544 27630 29430 33156 33463 36840 39240 41445 55260 58860 66312 66926 82890 100389 110520 117720 133852 165780 167315 200778 267704 301167 331560 334630 401556 501945 602334 669260 803112 903501 1003890 1204668 1338520 1505835 1807002 2007780 2409336 3011670 3614004 4015560 4517505 6023340 7228008 9035010 12046680 18070020 36140040