Search a number
-
+
90527640 = 23357472293
BaseRepresentation
bin1010110010101…
…01011110011000
320022100021120120
411121111132120
5141133341030
612552153240
72146320660
oct531253630
9208307516
1090527640
1147111835
1226398820
13159a8168
14c0471a0
157e33010
hex5655798

90527640 has 128 divisors (see below), whose sum is σ = 317122560. Its totient is φ = 20242944.

The previous prime is 90527623. The next prime is 90527663. The reversal of 90527640 is 4672509.

It is a congruent 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, 38334 + ... + 40626.

It is an arithmetic number, because the mean of its divisors is an integer number (2477520).

Almost surely, 290527640 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 90527640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158561280).

90527640 is an abundant number, since it is smaller than the sum of its proper divisors (226594920).

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

90527640 is a wasteful number, since it uses less digits than its factorization.

90527640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 90527640 is about 9514.6014104638. The cubic root of 90527640 is about 449.0145348410.

The spelling of 90527640 in words is "ninety million, five hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2293 2632 2820 3290 3948 4586 4935 5640 6580 6879 7896 9172 9870 11465 13160 13758 16051 18344 19740 22930 27516 32102 34395 39480 45860 48153 55032 64204 68790 80255 91720 96306 107771 128408 137580 160510 192612 215542 240765 275160 321020 323313 385224 431084 481530 538855 642040 646626 754397 862168 963060 1077710 1293252 1508794 1616565 1926120 2155420 2263191 2586504 3017588 3233130 3771985 4310840 4526382 6035176 6466260 7543970 9052764 11315955 12932520 15087940 18105528 22631910 30175880 45263820 90527640