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676533040 = 24523477823
BaseRepresentation
bin101000010100110…
…001001100110000
31202011000102212021
4220110301030300
52341143024130
6151044241224
722523302351
oct5024611460
91664012767
10676533040
11317981317
1216a6a0214
13aa213c11
1465bc9d28
153e5d937a
hex28531330

676533040 has 80 divisors (see below), whose sum is σ = 1676464128. Its totient is φ = 253307648.

The previous prime is 676533029. The next prime is 676533059. The reversal of 676533040 is 40335676.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 676532987 and 676533005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82569 + ... + 90391.

Almost surely, 2676533040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838232064).

676533040 is an abundant number, since it is smaller than the sum of its proper divisors (999931088).

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

676533040 is a wasteful number, since it uses less digits than its factorization.

676533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 676533040 is about 26010.2487492911. The cubic root of 676533040 is about 877.8689135851.

The spelling of 676533040 in words is "six hundred seventy-six million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 7823 8648 10810 15646 17296 21620 31292 39115 43240 62584 78230 86480 125168 156460 179929 312920 359858 367681 625840 719716 735362 899645 1439432 1470724 1799290 1838405 2878864 2941448 3598580 3676810 5882896 7197160 7353620 8456663 14394320 14707240 16913326 29414480 33826652 42283315 67653304 84566630 135306608 169133260 338266520 676533040