Search a number
-
+
672199290 = 233571918719
BaseRepresentation
bin101000000100001…
…111001001111010
31201211212021002000
4220010033021322
52334040334130
6150411321430
722441412460
oct5004171172
91654767060
10672199290
11315491304
12169150276
13a9357479
14653bc830
153e030260
hex2810f27a

672199290 has 128 divisors (see below), whose sum is σ = 2156544000. Its totient is φ = 145551168.

The previous prime is 672199277. The next prime is 672199343. The reversal of 672199290 is 92991276.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 26551 + ... + 45269.

It is an arithmetic number, because the mean of its divisors is an integer number (16848000).

Almost surely, 2672199290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672199290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078272000).

672199290 is an abundant number, since it is smaller than the sum of its proper divisors (1484344710).

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

672199290 is a wasteful number, since it uses less digits than its factorization.

672199290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18761 (or 18755 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 672199290 is about 25926.8063980121. The cubic root of 672199290 is about 875.9904061625.

The spelling of 672199290 in words is "six hundred seventy-two million, one hundred ninety-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11970 17955 18719 35910 37438 56157 93595 112314 131033 168471 187190 262066 280785 336942 355661 393099 505413 561570 655165 711322 786198 842355 1010826 1066983 1179297 1310330 1684710 1778305 1965495 2133966 2358594 2489627 2527065 3200949 3537891 3556610 3930990 4979254 5054130 5334915 5896485 6401898 7075782 7468881 9602847 10669830 11792970 12448135 14937762 16004745 17689455 19205694 22406643 24896270 32009490 35378910 37344405 44813286 48014235 67219929 74688810 96028470 112033215 134439858 224066430 336099645 672199290