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1040410020 = 2235132395581
BaseRepresentation
bin111110000000110…
…110010110100100
32200111201022020110
4332000312112210
54112321110040
6251123333020
734532224236
oct7600662644
92614638213
101040410020
114943144a1
12250521170
13137718540
149c26a256
1561514980
hex3e0365a4

1040410020 has 96 divisors (see below), whose sum is σ = 3150927360. Its totient is φ = 254983680.

The previous prime is 1040409967. The next prime is 1040410027. The reversal of 1040410020 is 200140401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1040409978 and 1040410005.

It is not an unprimeable number, because it can be changed into a prime (1040410027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183630 + ... + 189210.

It is an arithmetic number, because the mean of its divisors is an integer number (32822160).

Almost surely, 21040410020 is an apocalyptic number.

1040410020 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 1040410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575463680).

1040410020 is an abundant number, since it is smaller than the sum of its proper divisors (2110517340).

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

1040410020 is a wasteful number, since it uses less digits than its factorization.

1040410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5843 counting only the distinct ones).

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

The square root of 1040410020 is about 32255.3874569815. The cubic root of 1040410020 is about 1013.2925323581.

Adding to 1040410020 its reverse (200140401), we get a palindrome (1240550421).

The spelling of 1040410020 in words is "one billion, forty million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 239 260 390 478 717 780 956 1195 1434 2390 2868 3107 3585 4780 5581 6214 7170 9321 11162 12428 14340 15535 16743 18642 22324 27905 31070 33486 37284 46605 55810 62140 66972 72553 83715 93210 111620 145106 167430 186420 217659 290212 334860 362765 435318 725530 870636 1088295 1333859 1451060 2176590 2667718 4001577 4353180 5335436 6669295 8003154 13338590 16006308 17340167 20007885 26677180 34680334 40015770 52020501 69360668 80031540 86700835 104041002 173401670 208082004 260102505 346803340 520205010 1040410020