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91254420 = 223253971277
BaseRepresentation
bin1010111000001…
…10111010010100
320100201012112100
411130012322110
5141330120140
613015522100
72155435605
oct534067224
9210635470
1091254420
1147568884
1226689330
1315ba0bca
14c195dac
158028530
hex5706e94

91254420 has 72 divisors (see below), whose sum is σ = 277719624. Its totient is φ = 24254208.

The previous prime is 91254389. The next prime is 91254431. The reversal of 91254420 is 2445219.

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 71166096 = 4482^2 + 8436^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70822 + ... + 72098.

It is an arithmetic number, because the mean of its divisors is an integer number (3857217).

Almost surely, 291254420 is an apocalyptic number.

91254420 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 91254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138859812).

91254420 is an abundant number, since it is smaller than the sum of its proper divisors (186465204).

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

91254420 is a wasteful number, since it uses less digits than its factorization.

91254420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 91254420 is about 9552.7179378437. The cubic root of 91254420 is about 450.2129362615.

Adding to 91254420 its reverse (2445219), we get a palindrome (93699639).

The spelling of 91254420 in words is "ninety-one million, two hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1277 1588 1985 2382 2554 3573 3831 3970 4764 5108 5955 6385 7146 7662 7940 11493 11910 12770 14292 15324 17865 19155 22986 23820 25540 35730 38310 45972 57465 71460 76620 114930 229860 506969 1013938 1520907 2027876 2534845 3041814 4562721 5069690 6083628 7604535 9125442 10139380 15209070 18250884 22813605 30418140 45627210 91254420