[go: up one dir, main page]

Search a number
-
+
8972370 = 2345111953
BaseRepresentation
bin100010001110…
…100001010010
3121212211210000
4202032201102
54244103440
6520150430
7136156341
oct42164122
917784700
108972370
115079090
123008416
131b21bc4
141297b58
15bc3730
hex88e852

8972370 has 160 divisors (see below), whose sum is σ = 28226880. Its totient is φ = 2021760.

The previous prime is 8972309. The next prime is 8972371. The reversal of 8972370 is 732798.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169264 + ... + 169316.

It is an arithmetic number, because the mean of its divisors is an integer number (176418).

Almost surely, 28972370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113440).

8972370 is an abundant number, since it is smaller than the sum of its proper divisors (19254510).

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

8972370 is a wasteful number, since it uses less digits than its factorization.

8972370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8972370 is about 2995.3914602269. The cubic root of 8972370 is about 207.7953021930.

The spelling of 8972370 in words is "eight million, nine hundred seventy-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 53 54 55 57 66 81 90 95 99 106 110 114 135 159 162 165 171 190 198 209 265 270 285 297 318 330 342 405 418 477 495 513 530 570 583 594 627 795 810 855 891 954 990 1007 1026 1045 1166 1254 1431 1485 1539 1590 1710 1749 1782 1881 2014 2090 2385 2565 2862 2915 2970 3021 3078 3135 3498 3762 4293 4455 4770 5035 5130 5247 5643 5830 6042 6270 7155 7695 8586 8745 8910 9063 9405 10070 10494 11077 11286 14310 15105 15390 15741 16929 17490 18126 18810 21465 22154 26235 27189 28215 30210 31482 33231 33858 42930 45315 47223 52470 54378 55385 56430 66462 78705 81567 84645 90630 94446 99693 110770 135945 157410 163134 166155 169290 199386 236115 271890 299079 332310 407835 472230 498465 598158 815670 897237 996930 1495395 1794474 2990790 4486185 8972370