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1040140200 = 2335211214327
BaseRepresentation
bin111101111111110…
…100011110101000
32200111012121010010
4331333310132220
54112233441300
6251113451520
734530021501
oct7577643650
92614177103
101040140200
1149414a800
12250410ba0
13137652798
149c1d9ba8
15614aea50
hex3dff47a8

1040140200 has 144 divisors (see below), whose sum is σ = 3544460640. Its totient is φ = 252137600.

The previous prime is 1040140177. The next prime is 1040140267. The reversal of 1040140200 is 20410401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65437 + ... + 79763.

It is an arithmetic number, because the mean of its divisors is an integer number (24614310).

Almost surely, 21040140200 is an apocalyptic number.

1040140200 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 1040140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772230320).

1040140200 is an abundant number, since it is smaller than the sum of its proper divisors (2504320440).

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

1040140200 is a wasteful number, since it uses less digits than its factorization.

1040140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368 (or 14348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1040140200 is about 32251.2046286646. The cubic root of 1040140200 is about 1013.2049290016.

Adding to 1040140200 its reverse (20410401), we get a palindrome (1060550601).

The spelling of 1040140200 in words is "one billion, forty million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14327 14520 18150 24200 28654 36300 42981 57308 71635 72600 85962 114616 143270 157597 171924 214905 286540 315194 343848 358175 429810 472791 573080 630388 716350 787985 859620 945582 1074525 1260776 1432700 1575970 1719240 1733567 1891164 2149050 2363955 2865400 3151940 3467134 3782328 3939925 4298100 4727910 5200701 6303880 6934268 7879850 8596200 8667835 9455820 10401402 11819775 13868536 15759700 17335670 18911640 20802804 23639550 26003505 31519400 34671340 41605608 43339175 47279100 52007010 69342680 86678350 94558200 104014020 130017525 173356700 208028040 260035050 346713400 520070100 1040140200