Search a number
-
+
97190640 = 24325235869
BaseRepresentation
bin1011100101100…
…00001011110000
320202212210111100
411302300023300
5144340100030
613351044400
72260051431
oct562601360
9222783440
1097190640
114a952848
1228670700
131719bb71
14cc9d488
1587ec360
hex5cb02f0

97190640 has 120 divisors (see below), whose sum is σ = 340647840. Its totient is φ = 24786432.

The previous prime is 97190633. The next prime is 97190657. The reversal of 97190640 is 4609179.

97190640 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 97190595 and 97190604.

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, 13626 + ... + 19494.

It is an arithmetic number, because the mean of its divisors is an integer number (2838732).

Almost surely, 297190640 is an apocalyptic number.

97190640 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 97190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170323920).

97190640 is an abundant number, since it is smaller than the sum of its proper divisors (243457200).

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

97190640 is a wasteful number, since it uses less digits than its factorization.

97190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97190640 is about 9858.5313307815. The cubic root of 97190640 is about 459.7709004103.

The spelling of 97190640 in words is "ninety-seven million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 5869 8280 11738 16560 17607 23476 29345 35214 46952 52821 58690 70428 88035 93904 105642 117380 134987 140856 176070 211284 234760 264105 269974 281712 352140 404961 422568 469520 528210 539948 674935 704280 809922 845136 1056420 1079896 1214883 1349870 1408560 1619844 2024805 2112840 2159792 2429766 2699740 3239688 4049610 4225680 4859532 5399480 6074415 6479376 8099220 9719064 10798960 12148830 16198440 19438128 24297660 32396880 48595320 97190640