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1085132370 = 235719312283
BaseRepresentation
bin100000010101101…
…1100111001010010
32210121212102202210
41000223130321102
54210243213440
6255402052550
735614321140
oct10053347122
92717772683
101085132370
11507590013
122634aa156
13143a7667a
14a418c590
15653eaa80
hex40adce52

1085132370 has 192 divisors, whose sum is σ = 3248778240. Its totient is φ = 226592640.

The previous prime is 1085132359. The next prime is 1085132383. The reversal of 1085132370 is 732315801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3834249 + ... + 3834531.

It is an arithmetic number, because the mean of its divisors is an integer number (16920720).

Almost surely, 21085132370 is an apocalyptic number.

1085132370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085132370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624389120).

1085132370 is an abundant number, since it is smaller than the sum of its proper divisors (2163645870).

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

1085132370 is a wasteful number, since it uses less digits than its factorization.

1085132370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1085132370 is about 32941.3474223505. The cubic root of 1085132370 is about 1027.6082279543.

The spelling of 1085132370 in words is "one billion, eighty-five million, one hundred thirty-two thousand, three hundred seventy".