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91074672 = 24331316217
BaseRepresentation
bin1010110110110…
…11000001110000
320100101001222000
411123123001300
5141303342142
613012014000
72154056553
oct533330160
9210331860
1091074672
1147455827
1226601300
1315b3a150
14c14a69a
157ee014c
hex56db070

91074672 has 80 divisors (see below), whose sum is σ = 281544480. Its totient is φ = 28021248.

The previous prime is 91074671. The next prime is 91074677. The reversal of 91074672 is 27647019.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91074671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2493 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (3519306).

Almost surely, 291074672 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 91074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140772240).

91074672 is an abundant number, since it is smaller than the sum of its proper divisors (190469808).

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

91074672 is a wasteful number, since it uses less digits than its factorization.

91074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16247 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 91074672 is about 9543.3050878613. The cubic root of 91074672 is about 449.9171402993.

The spelling of 91074672 in words is "ninety-one million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 16217 32434 48651 64868 97302 129736 145953 194604 210821 259472 291906 389208 421642 437859 583812 632463 778416 843284 875718 1167624 1264926 1686568 1751436 1897389 2335248 2529852 3373136 3502872 3794778 5059704 5692167 7005744 7589556 10119408 11384334 15179112 22768668 30358224 45537336 91074672