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685606032 = 2435199281
BaseRepresentation
bin101000110111011…
…000010010010000
31202210002101200000
4220313120102100
52401003343112
6152010530000
722663361256
oct5067302220
91683071600
10685606032
11322008a61
12171736900
13ac06c857
14670ac5d6
15402cc7dc
hex28dd8490

685606032 has 120 divisors (see below), whose sum is σ = 2094761760. Its totient is φ = 216483840.

The previous prime is 685606027. The next prime is 685606037. The reversal of 685606032 is 230606586.

685606032 is a `hidden beast` number, since 6 + 8 + 560 + 60 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (685606027) and next prime (685606037).

It is a super-2 number, since 2×6856060322 = 940111262229570048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (685606037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69232 + ... + 78512.

It is an arithmetic number, because the mean of its divisors is an integer number (17456348).

Almost surely, 2685606032 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 685606032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047380880).

685606032 is an abundant number, since it is smaller than the sum of its proper divisors (1409155728).

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

685606032 is a wasteful number, since it uses less digits than its factorization.

685606032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9323 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 685606032 is about 26184.0797432333. The cubic root of 685606032 is about 881.7758697470.

The spelling of 685606032 in words is "six hundred eighty-five million, six hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 9281 12312 18468 18562 24624 27843 36936 37124 55686 73872 74248 83529 111372 148496 167058 176339 222744 250587 334116 352678 445488 501174 529017 668232 705356 751761 1002348 1058034 1336464 1410712 1503522 1587051 2004696 2116068 2255283 2821424 3007044 3174102 4009392 4232136 4510566 4761153 6014088 6348204 8464272 9021132 9522306 12028176 12696408 14283459 18042264 19044612 25392816 28566918 36084528 38089224 42850377 57133836 76178448 85700754 114267672 171401508 228535344 342803016 685606032