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92013120 = 2632543743
BaseRepresentation
bin1010111110000…
…00001001000000
320102010202021100
411133000021000
5142023404440
613044054400
72165045553
oct537001100
9212122240
1092013120
1147a36901
1226994400
13160a8344
14c31269a
158128230
hex57c0240

92013120 has 168 divisors, whose sum is σ = 324282816. Its totient is φ = 23933952.

The previous prime is 92013109. The next prime is 92013161. The reversal of 92013120 is 2131029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 92013093 and 92013102.

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, 123469 + ... + 124211.

Almost surely, 292013120 is an apocalyptic number.

92013120 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 92013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162141408).

92013120 is an abundant number, since it is smaller than the sum of its proper divisors (232269696).

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

92013120 is a wasteful number, since it uses less digits than its factorization.

92013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 92013120 is about 9592.3469495218. The cubic root of 92013120 is about 451.4572020816.

Adding to 92013120 its reverse (2131029), we get a palindrome (94144149).

It can be divided in two parts, 9201 and 3120, that added together give a palindrome (12321).

The spelling of 92013120 in words is "ninety-two million, thirteen thousand, one hundred twenty".