Search a number
-
+
91640556 = 223272397163
BaseRepresentation
bin1010111011001…
…01001011101100
320101102211012200
411131211023230
5141424444211
613032101500
72161634430
oct535451354
9211384180
1091640556
11478019a7
1226834890
1315ca78a7
14c2569c0
1580a2b56
hex57652ec

91640556 has 144 divisors (see below), whose sum is σ = 280809984. Its totient is φ = 24634368.

The previous prime is 91640543. The next prime is 91640561. The reversal of 91640556 is 65504619.

91640556 is a `hidden beast` number, since 9 + 1 + 640 + 5 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91640556.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562131 + ... + 562293.

Almost surely, 291640556 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 91640556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140404992).

91640556 is an abundant number, since it is smaller than the sum of its proper divisors (189169428).

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

91640556 is a wasteful number, since it uses less digits than its factorization.

91640556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 91640556 is about 9572.9073953528. The cubic root of 91640556 is about 450.8470563969.

The spelling of 91640556 in words is "ninety-one million, six hundred forty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 97 126 138 161 163 194 207 252 276 291 322 326 388 414 483 489 582 644 652 679 828 873 966 978 1141 1164 1358 1449 1467 1746 1932 1956 2037 2231 2282 2716 2898 2934 3423 3492 3749 4074 4462 4564 5796 5868 6111 6693 6846 7498 8148 8924 10269 11247 12222 13386 13692 14996 15617 15811 20079 20538 22494 24444 26243 26772 31234 31622 33741 40158 41076 44988 46851 47433 52486 62468 63244 67482 78729 80316 93702 94866 104972 110677 134964 140553 142299 157458 187404 189732 221354 236187 281106 284598 314916 332031 363653 442708 472374 562212 569196 664062 727306 944748 996093 1090959 1328124 1454612 1992186 2181918 2545571 3272877 3984372 4363836 5091142 6545754 7636713 10182284 13091508 15273426 22910139 30546852 45820278 91640556