Search a number
-
+
90733608 = 2334783241
BaseRepresentation
bin1010110100001…
…11110000101000
320022201202010000
411122013300220
5141211433413
613000423000
72151136320
oct532076050
9208652100
1090733608
1147242559
1226477a60
1315a4ab34
14c09c280
157e74073
hex5687c28

90733608 has 160 divisors (see below), whose sum is σ = 295162560. Its totient is φ = 25505280.

The previous prime is 90733589. The next prime is 90733609. The reversal of 90733608 is 80633709.

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

It is not an unprimeable number, because it can be changed into a prime (90733609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376368 + ... + 376608.

It is an arithmetic number, because the mean of its divisors is an integer number (1844766).

Almost surely, 290733608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90733608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147581280).

90733608 is an abundant number, since it is smaller than the sum of its proper divisors (204428952).

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

90733608 is a wasteful number, since it uses less digits than its factorization.

90733608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90733608 is about 9525.4190459003. The cubic root of 90733608 is about 449.3548087270.

The spelling of 90733608 in words is "ninety million, seven hundred thirty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 241 249 252 324 332 378 482 498 504 567 581 648 664 723 747 756 964 996 1134 1162 1446 1494 1512 1687 1743 1928 1992 2169 2241 2268 2324 2892 2988 3374 3486 4338 4482 4536 4648 5061 5229 5784 5976 6507 6723 6748 6972 8676 8964 10122 10458 13014 13446 13496 13944 15183 15687 17352 17928 19521 20003 20244 20916 26028 26892 30366 31374 39042 40006 40488 41832 45549 47061 52056 53784 60009 60732 62748 78084 80012 91098 94122 120018 121464 125496 136647 140021 156168 160024 180027 182196 188244 240036 273294 280042 360054 364392 376488 420063 480072 540081 546588 560084 720108 840126 1080162 1093176 1120168 1260189 1440216 1620243 1680252 2160324 2520378 3240486 3360504 3780567 4320648 5040756 6480972 7561134 10081512 11341701 12961944 15122268 22683402 30244536 45366804 90733608