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91007004 = 223112233269
BaseRepresentation
bin1010110110010…
…10100000011100
320100020122010210
411123022200130
5141244211004
613010332420
72153355354
oct533124034
9210218123
1091007004
1147409a00
122658a110
1315b153ca
14c12db64
157eca089
hex56ca81c

91007004 has 72 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 27357440.

The previous prime is 91006991. The next prime is 91007011. The reversal of 91007004 is 40070019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338182 + ... + 338450.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 291007004 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 91007004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

91007004 is an abundant number, since it is smaller than the sum of its proper divisors (144275316).

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

91007004 is a wasteful number, since it uses less digits than its factorization.

91007004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 91007004 is about 9539.7591164557. The cubic root of 91007004 is about 449.8056840051.

The spelling of 91007004 in words is "ninety-one million, seven thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 233 242 269 363 466 484 538 699 726 807 932 1076 1398 1452 1614 2563 2796 2959 3228 5126 5918 7689 8877 10252 11836 15378 17754 28193 30756 32549 35508 56386 62677 65098 84579 97647 112772 125354 130196 169158 188031 195294 250708 338316 376062 390588 689447 752124 1378894 2068341 2757788 4136682 7583917 8273364 15167834 22751751 30335668 45503502 91007004