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1203296080 = 24579472269
BaseRepresentation
bin100011110111000…
…1101011101010000
310002212012202220111
41013232031131100
54431020433310
6315222451104
741550563560
oct10756153520
93085182814
101203296080
11568258178
12296b93a94
131623a981c
14b5b4ada0
157098c28a
hex47b8d750

1203296080 has 80 divisors (see below), whose sum is σ = 3202116480. Its totient is φ = 411941376.

The previous prime is 1203296077. The next prime is 1203296089. The reversal of 1203296080 is 806923021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12032960802 = 2895842912286732800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203296089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529186 + ... + 531454.

It is an arithmetic number, because the mean of its divisors is an integer number (40026456).

Almost surely, 21203296080 is an apocalyptic number.

1203296080 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 1203296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601058240).

1203296080 is an abundant number, since it is smaller than the sum of its proper divisors (1998820400).

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

1203296080 is a wasteful number, since it uses less digits than its factorization.

1203296080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1203296080 is about 34688.5583442149. The cubic root of 1203296080 is about 1063.6306263025.

The spelling of 1203296080 in words is "one billion, two hundred three million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 947 1894 2269 3788 4538 4735 6629 7576 9076 9470 11345 13258 15152 15883 18152 18940 22690 26516 31766 33145 36304 37880 45380 53032 63532 66290 75760 79415 90760 106064 127064 132580 158830 181520 254128 265160 317660 530320 635320 1270640 2148743 4297486 8594972 10743715 15041201 17189944 21487430 30082402 34379888 42974860 60164804 75206005 85949720 120329608 150412010 171899440 240659216 300824020 601648040 1203296080