Search a number
-
+
91012272 = 24313157929
BaseRepresentation
bin1010110110010…
…11110010110000
320100020220100220
411123023302300
5141244343042
613010413040
72153406621
oct533136260
9210226326
1091012272
114741295a
1226591180
1315b17920
14c131a48
157ecb8ec
hex56cbcb0

91012272 has 80 divisors (see below), whose sum is σ = 255087840. Its totient is φ = 27795456.

The previous prime is 91012253. The next prime is 91012277. The reversal of 91012272 is 27221019.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (91012277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97504 + ... + 98432.

It is an arithmetic number, because the mean of its divisors is an integer number (3188598).

Almost surely, 291012272 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 91012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127543920).

91012272 is an abundant number, since it is smaller than the sum of its proper divisors (164075568).

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

91012272 is a wasteful number, since it uses less digits than its factorization.

91012272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 91012272 is about 9540.0352200608. The cubic root of 91012272 is about 449.8143629364.

The spelling of 91012272 in words is "ninety-one million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 314 471 624 628 929 942 1256 1858 1884 2041 2512 2787 3716 3768 4082 5574 6123 7432 7536 8164 11148 12077 12246 14864 16328 22296 24154 24492 32656 36231 44592 48308 48984 72462 96616 97968 144924 145853 193232 289848 291706 437559 579696 583412 875118 1166824 1750236 1896089 2333648 3500472 3792178 5688267 7000944 7584356 11376534 15168712 22753068 30337424 45506136 91012272