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1138525890 = 235374912089
BaseRepresentation
bin100001111011100…
…1000011011000010
32221100100002220120
41003313020123002
54312430312030
6304550321110
740133211315
oct10367103302
92840302816
101138525890
11534739397
12279359196
13151b4c578
14ab2ca97c
1569e46010
hex43dc86c2

1138525890 has 64 divisors (see below), whose sum is σ = 2813374080. Its totient is φ = 294658560.

The previous prime is 1138525879. The next prime is 1138525901. The reversal of 1138525890 is 985258311.

It is an interprime number because it is at equal distance from previous prime (1138525879) and next prime (1138525901).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543966 + ... + 546054.

It is an arithmetic number, because the mean of its divisors is an integer number (43958970).

Almost surely, 21138525890 is an apocalyptic number.

1138525890 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 1138525890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406687040).

1138525890 is an abundant number, since it is smaller than the sum of its proper divisors (1674848190).

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

1138525890 is a wasteful number, since it uses less digits than its factorization.

1138525890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627.

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 1138525890 is about 33742.0492857206. The cubic root of 1138525890 is about 1044.1934635819.

The spelling of 1138525890 in words is "one billion, one hundred thirty-eight million, five hundred twenty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 491 555 982 1110 1473 2089 2455 2946 4178 4910 6267 7365 10445 12534 14730 18167 20890 31335 36334 54501 62670 77293 90835 109002 154586 181670 231879 272505 386465 463758 545010 772930 1025699 1159395 2051398 2318790 3077097 5128495 6154194 10256990 15385485 30770970 37950863 75901726 113852589 189754315 227705178 379508630 569262945 1138525890