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1040051220 = 2235136121859
BaseRepresentation
bin111101111111011…
…110110000010100
32200111001002001120
4331333132300110
54112223114340
6251111523540
734526201205
oct7577366024
92614032046
101040051220
1149409996a
122503895b0
13137621130
149c1b55ac
15614934d0
hex3dfdec14

1040051220 has 96 divisors (see below), whose sum is σ = 3187712640. Its totient is φ = 251804160.

The previous prime is 1040051219. The next prime is 1040051231. The reversal of 1040051220 is 221500401.

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 1040051220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36651 + ... + 58509.

It is an arithmetic number, because the mean of its divisors is an integer number (33205340).

Almost surely, 21040051220 is an apocalyptic number.

1040051220 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 1040051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593856320).

1040051220 is an abundant number, since it is smaller than the sum of its proper divisors (2147661420).

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

1040051220 is a wasteful number, since it uses less digits than its factorization.

1040051220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21945 (or 21943 counting only the distinct ones).

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

The square root of 1040051220 is about 32249.8251158049. The cubic root of 1040051220 is about 1013.1760362473.

Adding to 1040051220 its reverse (221500401), we get a palindrome (1261551621).

The spelling of 1040051220 in words is "one billion, forty million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 3172 3660 3965 4758 7930 9516 11895 15860 21859 23790 43718 47580 65577 87436 109295 131154 218590 262308 284167 327885 437180 568334 655770 852501 1136668 1311540 1333399 1420835 1705002 2666798 2841670 3410004 4000197 4262505 5333596 5683340 6666995 8000394 8525010 13333990 16000788 17050020 17334187 20000985 26667980 34668374 40001970 52002561 69336748 80003940 86670935 104005122 173341870 208010244 260012805 346683740 520025610 1040051220