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206972880 = 2435862387
BaseRepresentation
bin11000101011000…
…10011111010000
3112102110022102020
430111202133100
5410441113010
632312051440
75062145322
oct1425423720
9472408366
10206972880
11a6915874
1259393b80
1333b5907a
141d6b9612
1513285470
hexc5627d0

206972880 has 40 divisors (see below), whose sum is σ = 641616672. Its totient is φ = 55192704.

The previous prime is 206972869. The next prime is 206972891. The reversal of 206972880 is 88279602.

It is a happy number.

206972880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206972869) and next prime (206972891).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 430954 + ... + 431433.

Almost surely, 2206972880 is an apocalyptic number.

206972880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206972880 is an abundant number, since it is smaller than the sum of its proper divisors (434643792).

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

206972880 is a wasteful number, since it uses less digits than its factorization.

206972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862403 (or 862397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 206972880 is about 14386.5520539148. The cubic root of 206972880 is about 591.5223350473.

The spelling of 206972880 in words is "two hundred six million, nine hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 862387 1724774 2587161 3449548 4311935 5174322 6899096 8623870 10348644 12935805 13798192 17247740 20697288 25871610 34495480 41394576 51743220 68990960 103486440 206972880