Search a number
-
+
97092720 = 24325134851
BaseRepresentation
bin1011100100110…
…00010001110000
320202200211011200
411302120101300
5144323431340
613345011200
72256163104
oct562302160
9222624150
1097092720
114a89621a
1228623b00
131716641a
14cc75904
1587cd330
hex5c98470

97092720 has 60 divisors (see below), whose sum is σ = 326072136. Its totient is φ = 25891200.

The previous prime is 97092719. The next prime is 97092739. The reversal of 97092720 is 2729079.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66706 + ... + 68145.

Almost surely, 297092720 is an apocalyptic number.

97092720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97092720 is an abundant number, since it is smaller than the sum of its proper divisors (228979416).

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

97092720 is a wasteful number, since it uses less digits than its factorization.

97092720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134870 (or 134861 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97092720 is about 9853.5638222929. The cubic root of 97092720 is about 459.6164414536.

The spelling of 97092720 in words is "ninety-seven million, ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 134851 269702 404553 539404 674255 809106 1078808 1213659 1348510 1618212 2022765 2157616 2427318 2697020 3236424 4045530 4854636 5394040 6068295 6472848 8091060 9709272 10788080 12136590 16182120 19418544 24273180 32364240 48546360 97092720