Search a number
-
+
91498680 = 23335731319
BaseRepresentation
bin1010111010000…
…10100010111000
320101011121121000
411131002202320
5141410424210
613025045000
72160504000
oct535024270
9211147530
1091498680
1147715349
1226786760
1315c58140
14c21b000
158075ac0
hex57428b8

91498680 has 512 divisors, whose sum is σ = 403200000. Its totient is φ = 18289152.

The previous prime is 91498657. The next prime is 91498681. The reversal of 91498680 is 8689419.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91498681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4815711 + ... + 4815729.

It is an arithmetic number, because the mean of its divisors is an integer number (787500).

Almost surely, 291498680 is an apocalyptic number.

91498680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91498680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600000).

91498680 is an abundant number, since it is smaller than the sum of its proper divisors (311701320).

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

91498680 is a wasteful number, since it uses less digits than its factorization.

91498680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 91498680 is about 9565.4942371003. The cubic root of 91498680 is about 450.6142722177.

The spelling of 91498680 in words is "ninety-one million, four hundred ninety-eight thousand, six hundred eighty".