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206680440 = 233511871451
BaseRepresentation
bin11000101000110…
…11000101111000
3112101220110021010
430110123011320
5410402233230
632301513520
75056516611
oct1424330570
9471813233
10206680440
11a673608a
12592728a0
1333a85c25
141d640c08
15132289b0
hexc51b178

206680440 has 64 divisors (see below), whose sum is σ = 620991360. Its totient is φ = 55030400.

The previous prime is 206680429. The next prime is 206680471. The reversal of 206680440 is 44086602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206680398 and 206680407.

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 15 ways as a sum of consecutive naturals, for example, 141715 + ... + 143165.

It is an arithmetic number, because the mean of its divisors is an integer number (9702990).

Almost surely, 2206680440 is an apocalyptic number.

206680440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206680440 is an abundant number, since it is smaller than the sum of its proper divisors (414310920).

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

206680440 is a wasteful number, since it uses less digits than its factorization.

206680440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 206680440 is about 14376.3848028633. The cubic root of 206680440 is about 591.2436087910.

The spelling of 206680440 in words is "two hundred six million, six hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1187 1451 2374 2902 3561 4353 4748 5804 5935 7122 7255 8706 9496 11608 11870 14244 14510 17412 17805 21765 23740 28488 29020 34824 35610 43530 47480 58040 71220 87060 142440 174120 1722337 3444674 5167011 6889348 8611685 10334022 13778696 17223370 20668044 25835055 34446740 41336088 51670110 68893480 103340220 206680440