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1040125200 = 24352899739
BaseRepresentation
bin111101111111110…
…000110100010000
32200111011211112120
4331333300310100
54112233001300
6251113254240
734526626662
oct7577606420
92614154476
101040125200
1149413a504
12250404380
131376489ca
149c1d4532
15614aa3a0
hex3dff0d10

1040125200 has 120 divisors (see below), whose sum is σ = 3369650400. Its totient is φ = 274222080.

The previous prime is 1040125199. The next prime is 1040125217. The reversal of 1040125200 is 25210401.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1040125200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101931 + ... + 111669.

It is an arithmetic number, because the mean of its divisors is an integer number (28080420).

Almost surely, 21040125200 is an apocalyptic number.

1040125200 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 1040125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684825200).

1040125200 is an abundant number, since it is smaller than the sum of its proper divisors (2329525200).

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

1040125200 is a wasteful number, since it uses less digits than its factorization.

1040125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1040125200 is about 32250.9720783731. The cubic root of 1040125200 is about 1013.2000584572.

Adding to 1040125200 its reverse (25210401), we get a palindrome (1065335601).

The spelling of 1040125200 in words is "one billion, forty million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 150 178 200 240 267 300 356 400 445 534 600 712 890 1068 1200 1335 1424 1780 2136 2225 2670 3560 4272 4450 5340 6675 7120 8900 9739 10680 13350 17800 19478 21360 26700 29217 35600 38956 48695 53400 58434 77912 97390 106800 116868 146085 155824 194780 233736 243475 292170 389560 467472 486950 584340 730425 779120 866771 973900 1168680 1460850 1733542 1947800 2337360 2600313 2921700 3467084 3895600 4333855 5200626 5843400 6934168 8667710 10401252 11686800 13001565 13868336 17335420 20802504 21669275 26003130 34670840 41605008 43338550 52006260 65007825 69341680 86677100 104012520 130015650 173354200 208025040 260031300 346708400 520062600 1040125200