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1040140400 = 245213317631
BaseRepresentation
bin111101111111110…
…100100001110000
32200111012121101112
4331333310201300
54112233443100
6251113452452
734530022205
oct7577644160
92614177345
101040140400
1149414a972
12250411128
131376528c0
149c1d9cac
15614aeb35
hex3dff4870

1040140400 has 120 divisors (see below), whose sum is σ = 2703931104. Its totient is φ = 382233600.

The previous prime is 1040140399. The next prime is 1040140429. The reversal of 1040140400 is 40410401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648085 + ... + 1648715.

Almost surely, 21040140400 is an apocalyptic number.

1040140400 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 1040140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351965552).

1040140400 is an abundant number, since it is smaller than the sum of its proper divisors (1663790704).

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

1040140400 is a wasteful number, since it uses less digits than its factorization.

1040140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1040140400 is about 32251.2077293239. The cubic root of 1040140400 is about 1013.2049939419.

Adding to 1040140400 its reverse (40410401), we get a palindrome (1080550801).

The spelling of 1040140400 in words is "one billion, forty million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 317 325 400 520 631 634 650 1040 1262 1268 1300 1585 2524 2536 2600 3155 3170 4121 5048 5072 5200 6310 6340 7925 8203 8242 10096 12620 12680 15775 15850 16406 16484 20605 25240 25360 31550 31700 32812 32968 41015 41210 50480 63100 63400 65624 65936 82030 82420 103025 126200 126800 131248 164060 164840 200027 205075 206050 252400 328120 329680 400054 410150 412100 656240 800108 820300 824200 1000135 1600216 1640600 1648400 2000270 2600351 3200432 3281200 4000540 5000675 5200702 8001080 10001350 10401404 13001755 16002160 20002700 20802808 26003510 40005400 41605616 52007020 65008775 80010800 104014040 130017550 208028080 260035100 520070200 1040140400