Search a number
-
+
139123200 = 293523623
BaseRepresentation
bin10000100101011…
…01101000000000
3100200210012011010
420102231220000
5241103420300
621445520520
73306345666
oct1022555000
9320705133
10139123200
1171593357
123a713140
1322a91228
1414696c36
15c331a50
hex84ada00

139123200 has 120 divisors (see below), whose sum is σ = 459711648. Its totient is φ = 37089280.

The previous prime is 139123199. The next prime is 139123211. The reversal of 139123200 is 2321931.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36589 + ... + 40211.

Almost surely, 2139123200 is an apocalyptic number.

139123200 is a gapful number since it is divisible by the number (10) 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 139123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229855824).

139123200 is an abundant number, since it is smaller than the sum of its proper divisors (320588448).

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

139123200 is an equidigital number, since it uses as much as digits as its factorization.

139123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 139123200 is about 11795.0498091360. The cubic root of 139123200 is about 518.1631443507.

The spelling of 139123200 in words is "one hundred thirty-nine million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3623 3840 4800 6400 7246 7680 9600 10869 12800 14492 18115 19200 21738 28984 36230 38400 43476 54345 57968 72460 86952 90575 108690 115936 144920 173904 181150 217380 231872 271725 289840 347808 362300 434760 463744 543450 579680 695616 724600 869520 927488 1086900 1159360 1391232 1449200 1739040 1854976 2173800 2318720 2782464 2898400 3478080 4347600 4637440 5564928 5796800 6956160 8695200 9274880 11593600 13912320 17390400 23187200 27824640 34780800 46374400 69561600 139123200