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1223087040 = 2636572107
BaseRepresentation
bin100100011100110…
…1101001111000000
310011020110021000000
41020321231033000
510001102241130
6321211000000
742211032300
oct11071551700
93136407000
101223087040
1157844543a
122a1739000
13166518a56
14b861d600
157259b260
hex48e6d3c0

1223087040 has 588 divisors, whose sum is σ = 5127123096. Its totient is φ = 276950016.

The previous prime is 1223087017. The next prime is 1223087053. The reversal of 1223087040 is 407803221.

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a junction number, because it is equal to n+sod(n) for n = 1223086995 and 1223087013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11430667 + ... + 11430773.

Almost surely, 21223087040 is an apocalyptic number.

1223087040 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 1223087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563561548).

1223087040 is an abundant number, since it is smaller than the sum of its proper divisors (3904036056).

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

1223087040 is an equidigital number, since it uses as much as digits as its factorization.

1223087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1223087040 is about 34972.6613228104. The cubic root of 1223087040 is about 1069.4302262450.

The spelling of 1223087040 in words is "one billion, two hundred twenty-three million, eighty-seven thousand, forty".