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1202052096 = 2103376211
BaseRepresentation
bin100011110100101…
…1101110000000000
310002202212120111000
41013221131300000
54430211131341
6315140052000
741534163030
oct10751356000
93082776430
101202052096
11567588593
12296694000
1316206253b
14b59058c0
15707e38b6
hex47a5dc00

1202052096 has 176 divisors, whose sum is σ = 4069108480. Its totient is φ = 343388160.

The previous prime is 1202052073. The next prime is 1202052097. The reversal of 1202052096 is 6902502021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202052097) 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 15 ways as a sum of consecutive naturals, for example, 190431 + ... + 196641.

Almost surely, 21202052096 is an apocalyptic number.

1202052096 is a gapful number since it is divisible by the number (16) 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 1202052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034554240).

1202052096 is an abundant number, since it is smaller than the sum of its proper divisors (2867056384).

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

1202052096 is an equidigital number, since it uses as much as digits as its factorization.

1202052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1202052096 is about 34670.6229537342. The cubic root of 1202052096 is about 1063.2639679422.

The spelling of 1202052096 in words is "one billion, two hundred two million, fifty-two thousand, ninety-six".