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103022040 = 233511174591
BaseRepresentation
bin1100010001111…
…11110111011000
321011212001200010
412020333313120
5202333201130
614120041520
72360446542
oct610776730
9234761603
10103022040
1153175a90
122a6032a0
13184611b4
14d97a692
1590a00b0
hex623fdd8

103022040 has 128 divisors (see below), whose sum is σ = 357073920. Its totient is φ = 23500800.

The previous prime is 103022033. The next prime is 103022063. The reversal of 103022040 is 40220301.

It is a super-2 number, since 2×1030220402 = 21227081451523200, which contains 22 as substring.

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

It is a congruent number.

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, 20145 + ... + 24735.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 2103022040 is an apocalyptic number.

103022040 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 103022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178536960).

103022040 is an abundant number, since it is smaller than the sum of its proper divisors (254051880).

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

103022040 is a wasteful number, since it uses less digits than its factorization.

103022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103022040 is about 10149.9773398762. The cubic root of 103022040 is about 468.7882471903.

Adding to 103022040 its reverse (40220301), we get a palindrome (143242341).

The spelling of 103022040 in words is "one hundred three million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 4591 5610 7480 9182 11220 13773 18364 22440 22955 27546 36728 45910 50501 55092 68865 78047 91820 101002 110184 137730 151503 156094 183640 202004 234141 252505 275460 303006 312188 390235 404008 468282 505010 550920 606012 624376 757515 780470 858517 936564 1010020 1170705 1212024 1515030 1560940 1717034 1873128 2020040 2341410 2575551 3030060 3121880 3434068 4292585 4682820 5151102 6060120 6868136 8585170 9365640 10302204 12877755 17170340 20604408 25755510 34340680 51511020 103022040