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1122193040 = 24515439091
BaseRepresentation
bin100001011100011…
…0100111010010000
32220012121022110012
41002320310322100
54244240134130
6303204254052
736544324553
oct10270647220
92805538405
101122193040
115264a3271
122739a1328
1314b651367
14a907869a
15687bb995
hex42e34e90

1122193040 has 40 divisors (see below), whose sum is σ = 2611076928. Its totient is φ = 448536960.

The previous prime is 1122193031. The next prime is 1122193049. The reversal of 1122193040 is 403912211.

It is an interprime number because it is at equal distance from previous prime (1122193031) and next prime (1122193049).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1122192997 and 1122193015.

It is not an unprimeable number, because it can be changed into a prime (1122193049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118895 + ... + 127985.

Almost surely, 21122193040 is an apocalyptic number.

1122193040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122193040 is an abundant number, since it is smaller than the sum of its proper divisors (1488883888).

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

1122193040 is a wasteful number, since it uses less digits than its factorization.

1122193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1122193040 is about 33499.1498399586. The cubic root of 1122193040 is about 1039.1761967349.

The spelling of 1122193040 in words is "one billion, one hundred twenty-two million, one hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1543 3086 6172 7715 9091 12344 15430 18182 24688 30860 36364 45455 61720 72728 90910 123440 145456 181820 363640 727280 14027413 28054826 56109652 70137065 112219304 140274130 224438608 280548260 561096520 1122193040