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553680765 = 34511373359
BaseRepresentation
bin100001000000000…
…111111101111101
31102120211220020000
4201000013331331
52113220241030
6130535144513
716502131431
oct4100077575
91376756200
10553680765
112645a1610
12135515139
138a92b971
145376a9c1
153391d860
hex21007f7d

553680765 has 80 divisors (see below), whose sum is σ = 1112348160. Its totient is φ = 261118080.

The previous prime is 553680761. The next prime is 553680773. The reversal of 553680765 is 567086355.

553680765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 553680765 - 22 = 553680761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 553680765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553680761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163156 + ... + 166514.

It is an arithmetic number, because the mean of its divisors is an integer number (13904352).

Almost surely, 2553680765 is an apocalyptic number.

553680765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

553680765 is an abundant number, since it is smaller than the sum of its proper divisors (558667395).

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

553680765 is a wasteful number, since it uses less digits than its factorization.

553680765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 553680765 is about 23530.4221169107. The cubic root of 553680765 is about 821.1449230672.

The spelling of 553680765 in words is "five hundred fifty-three million, six hundred eighty thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 81 99 111 135 165 185 297 333 405 407 495 555 891 999 1221 1485 1665 2035 2997 3359 3663 4455 4995 6105 10077 10989 14985 16795 18315 30231 32967 36949 50385 54945 90693 110847 124283 151155 164835 184745 272079 332541 372849 453465 554235 621415 997623 1118547 1360395 1367113 1662705 1864245 2992869 3355641 4101339 4988115 5592735 6835565 10066923 12304017 14964345 16778205 20506695 36912051 50334615 61520085 110736153 184560255 553680765