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1138870368 = 253429109139
BaseRepresentation
bin100001111100001…
…1100100001100000
32221100222121110000
41003320130201200
54313022322433
6305001540000
740136144526
oct10370344140
92840877400
101138870368
11534954189
122794a4600
13151c402bc
14ab37a316
1569eb3113
hex43e1c860

1138870368 has 240 divisors, whose sum is σ = 3521826000. Its totient is φ = 360557568.

The previous prime is 1138870331. The next prime is 1138870373. The reversal of 1138870368 is 8630788311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8193243 + ... + 8193381.

It is an arithmetic number, because the mean of its divisors is an integer number (14674275).

Almost surely, 21138870368 is an apocalyptic number.

1138870368 is a gapful number since it is divisible by the number (18) 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 1138870368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760913000).

1138870368 is an abundant number, since it is smaller than the sum of its proper divisors (2382955632).

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

1138870368 is a wasteful number, since it uses less digits than its factorization.

1138870368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1138870368 is about 33747.1534799604. The cubic root of 1138870368 is about 1044.2987650679.

The spelling of 1138870368 in words is "one billion, one hundred thirty-eight million, eight hundred seventy thousand, three hundred sixty-eight".