Search a number
-
+
207973480 = 2351113103353
BaseRepresentation
bin11000110010101…
…10110001101000
3112111100010222111
430121112301220
5411220122410
632345332104
75103513451
oct1431266150
9474303874
10207973480
11a7439610
1259797034
1334119640
141d89a128
15133d1b8a
hexc656c68

207973480 has 128 divisors (see below), whose sum is σ = 556657920. Its totient is φ = 68935680.

The previous prime is 207973463. The next prime is 207973489. The reversal of 207973480 is 84379702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (207973489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 588984 + ... + 589336.

It is an arithmetic number, because the mean of its divisors is an integer number (4348890).

Almost surely, 2207973480 is an apocalyptic number.

207973480 is a gapful number since it is divisible by the number (20) 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 207973480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278328960).

207973480 is an abundant number, since it is smaller than the sum of its proper divisors (348684440).

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

207973480 is a wasteful number, since it uses less digits than its factorization.

207973480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 207973480 is about 14421.2856569725. The cubic root of 207973480 is about 592.4740313946.

The spelling of 207973480 in words is "two hundred seven million, nine hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 103 104 110 130 143 206 220 260 286 353 412 440 515 520 572 706 715 824 1030 1133 1144 1339 1412 1430 1765 2060 2266 2678 2824 2860 3530 3883 4120 4532 4589 5356 5665 5720 6695 7060 7766 9064 9178 10712 11330 13390 14120 14729 15532 18356 19415 22660 22945 26780 29458 31064 36359 36712 38830 45320 45890 50479 53560 58916 72718 73645 77660 91780 100958 117832 145436 147290 155320 181795 183560 201916 252395 290872 294580 363590 399949 403832 472667 504790 589160 727180 799898 945334 1009580 1454360 1599796 1890668 1999745 2019160 2363335 3199592 3781336 3999490 4726670 5199337 7998980 9453340 10398674 15997960 18906680 20797348 25996685 41594696 51993370 103986740 207973480