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1040123240 = 2351317971213
BaseRepresentation
bin111101111111110…
…000010101101000
32200111011201211222
4331333300111220
54112232420430
6251113241212
734526621162
oct7577602550
92614151758
101040123240
11494138a92
12250403208
13137647b50
149c1d3932
15614a99e5
hex3dff0568

1040123240 has 128 divisors (see below), whose sum is σ = 2698284960. Its totient is φ = 357433344.

The previous prime is 1040123221. The next prime is 1040123263. The reversal of 1040123240 is 423210401.

It can be written as a sum of positive squares in 16 ways, for example, as 1865956 + 1038257284 = 1366^2 + 32222^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 856874 + ... + 858086.

Almost surely, 21040123240 is an apocalyptic number.

1040123240 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 1040123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349142480).

1040123240 is an abundant number, since it is smaller than the sum of its proper divisors (1658161720).

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

1040123240 is a wasteful number, since it uses less digits than its factorization.

1040123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1040123240 is about 32250.9416916778. The cubic root of 1040123240 is about 1013.1994220360.

Adding to 1040123240 its reverse (423210401), we get a palindrome (1463333641).

The spelling of 1040123240 in words is "one billion, forty million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 97 104 130 136 170 194 221 260 340 388 442 485 520 680 776 884 970 1105 1213 1261 1649 1768 1940 2210 2426 2522 3298 3880 4420 4852 5044 6065 6305 6596 8245 8840 9704 10088 12130 12610 13192 15769 16490 20621 21437 24260 25220 31538 32980 41242 42874 48520 50440 63076 65960 78845 82484 85748 103105 107185 117661 126152 157690 164968 171496 206210 214370 235322 268073 315380 412420 428740 470644 536146 588305 630760 824840 857480 941288 1072292 1176610 1340365 1529593 2000237 2144584 2353220 2680730 3059186 4000474 4706440 5361460 6118372 7647965 8000948 10001185 10722920 12236744 15295930 16001896 20002370 26003081 30591860 40004740 52006162 61183720 80009480 104012324 130015405 208024648 260030810 520061620 1040123240