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206974976 = 21213323
BaseRepresentation
bin11000101011000…
…11000000000000
3112102110102021212
430111203000000
5410441144401
632312105252
75062154405
oct1425430000
9472412255
10206974976
11a69173aa
1259395228
1333b5a000
141d6ba2ac
1513285dbb
hexc563000

206974976 has 104 divisors (see below), whose sum is σ = 467869920. Its totient is φ = 91373568.

The previous prime is 206974973. The next prime is 206975029. The reversal of 206974976 is 679479602.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206974973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8998901 + ... + 8998923.

Almost surely, 2206974976 is an apocalyptic number.

206974976 is a gapful number since it is divisible by the number (26) 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 206974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233934960).

206974976 is an abundant number, since it is smaller than the sum of its proper divisors (260894944).

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

206974976 is an frugal number, since it uses more digits than its factorization.

206974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 206974976 is about 14386.6248995378. The cubic root of 206974976 is about 591.5243318091.

The spelling of 206974976 in words is "two hundred six million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 256 299 338 368 416 512 598 676 736 832 1024 1196 1352 1472 1664 2048 2197 2392 2704 2944 3328 3887 4096 4394 4784 5408 5888 6656 7774 8788 9568 10816 11776 13312 15548 17576 19136 21632 23552 26624 31096 35152 38272 43264 47104 50531 53248 62192 70304 76544 86528 94208 101062 124384 140608 153088 173056 202124 248768 281216 306176 346112 404248 497536 562432 612352 692224 808496 995072 1124864 1224704 1616992 1990144 2249728 3233984 3980288 4499456 6467968 7960576 8998912 12935936 15921152 25871872 51743744 103487488 206974976