Search a number
-
+
197990400 = 2113521289
BaseRepresentation
bin10111100110100…
…01100000000000
3111210112221202210
423303101200000
5401141143100
631351342120
74622614326
oct1363214000
9453487683
10197990400
11a1840133
1256381940
13320326aa
141c41bd16
15125adc50
hexbcd1800

197990400 has 144 divisors (see below), whose sum is σ = 655036200. Its totient is φ = 52756480.

The previous prime is 197990399. The next prime is 197990407. The reversal of 197990400 is 4099791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197990407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152956 + ... + 154244.

Almost surely, 2197990400 is an apocalyptic number.

197990400 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 197990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327518100).

197990400 is an abundant number, since it is smaller than the sum of its proper divisors (457045800).

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

197990400 is a wasteful number, since it uses less digits than its factorization.

197990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 197990400 is about 14070.9061541892. The cubic root of 197990400 is about 582.8382484126.

The spelling of 197990400 in words is "one hundred ninety-seven million, nine hundred ninety thousand, four 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 1024 1200 1280 1289 1536 1600 1920 2048 2400 2560 2578 3072 3200 3840 3867 4800 5120 5156 6144 6400 6445 7680 7734 9600 10240 10312 12800 12890 15360 15468 19200 19335 20624 25600 25780 30720 30936 32225 38400 38670 41248 51200 51560 61872 64450 76800 77340 82496 96675 103120 123744 128900 153600 154680 164992 193350 206240 247488 257800 309360 329984 386700 412480 494976 515600 618720 659968 773400 824960 989952 1031200 1237440 1319936 1546800 1649920 1979904 2062400 2474880 2639872 3093600 3299840 3959808 4124800 4949760 6187200 6599680 7919616 8249600 9899520 12374400 13199360 16499200 19799040 24748800 32998400 39598080 49497600 65996800 98995200 197990400