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1040320040 = 23553557881
BaseRepresentation
bin111110000000100…
…000011000101000
32200111112201210212
4332000200120220
54112310220130
6251121400252
734531401014
oct7600403050
92614481725
101040320040
11494262931
12250499088
131376b65b6
149c245544
15614e7e95
hex3e020628

1040320040 has 64 divisors (see below), whose sum is σ = 2391878160. Its totient is φ = 407080960.

The previous prime is 1040320031. The next prime is 1040320079. The reversal of 1040320040 is 400230401.

It can be written as a sum of positive squares in 8 ways, for example, as 165225316 + 875094724 = 12854^2 + 29582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1040319997 and 1040320024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180400 + ... + 1181280.

Almost surely, 21040320040 is an apocalyptic number.

1040320040 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 1040320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195939080).

1040320040 is an abundant number, since it is smaller than the sum of its proper divisors (1351558120).

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

1040320040 is a wasteful number, since it uses less digits than its factorization.

1040320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1040320040 is about 32253.9926210694. The cubic root of 1040320040 is about 1013.2633199357.

Adding to 1040320040 its reverse (400230401), we get a palindrome (1440550441).

The spelling of 1040320040 in words is "one billion, forty million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 557 881 1060 1114 1762 2120 2228 2785 3524 4405 4456 5570 7048 8810 11140 17620 22280 29521 35240 46693 59042 93386 118084 147605 186772 233465 236168 295210 373544 466930 490717 590420 933860 981434 1180840 1867720 1962868 2453585 3925736 4907170 9814340 19628680 26008001 52016002 104032004 130040005 208064008 260080010 520160020 1040320040