Search a number
-
+
138332088 = 23322997683
BaseRepresentation
bin10000011111011…
…00011110111000
3100122021222221200
420033230132320
5240403111323
621420534200
73266542356
oct1017543670
9318258850
10138332088
11710a2a44
123a3b1360
132287510b
141452c7d6
15c227443
hex83ec7b8

138332088 has 96 divisors (see below), whose sum is σ = 392137200. Its totient is φ = 43997184.

The previous prime is 138332071. The next prime is 138332099. The reversal of 138332088 is 880233831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202195 + ... + 202877.

Almost surely, 2138332088 is an apocalyptic number.

138332088 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 138332088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

138332088 is an abundant number, since it is smaller than the sum of its proper divisors (253805112).

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

138332088 is a wasteful number, since it uses less digits than its factorization.

138332088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138332088 is about 11761.4662351256. The cubic root of 138332088 is about 517.1791135383.

The spelling of 138332088 in words is "one hundred thirty-eight million, three hundred thirty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 97 116 174 194 232 261 291 348 388 522 582 683 696 776 873 1044 1164 1366 1746 2049 2088 2328 2732 2813 3492 4098 5464 5626 6147 6984 8196 8439 11252 12294 16392 16878 19807 22504 24588 25317 33756 39614 49176 50634 59421 66251 67512 79228 101268 118842 132502 158456 178263 198753 202536 237684 265004 356526 397506 475368 530008 596259 713052 795012 1192518 1426104 1590024 1921279 2385036 3842558 4770072 5763837 7685116 11527674 15370232 17291511 23055348 34583022 46110696 69166044 138332088