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690490080 = 25325768501
BaseRepresentation
bin101001001010000…
…000101011100000
31210010021112022200
4221022000223200
52403231140310
6152303333200
723053032420
oct5112005340
91703245280
10690490080
11324844465
121732b1200
13b008c917
14679c0480
15409449c0
hex29280ae0

690490080 has 144 divisors (see below), whose sum is σ = 2692950624. Its totient is φ = 157824000.

The previous prime is 690490079. The next prime is 690490093. The reversal of 690490080 is 80094096.

690490080 is a `hidden beast` number, since 6 + 90 + 490 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24171 + ... + 44330.

It is an arithmetic number, because the mean of its divisors is an integer number (18701046).

Almost surely, 2690490080 is an apocalyptic number.

690490080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

690490080 is an abundant number, since it is smaller than the sum of its proper divisors (2002460544).

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

690490080 is a wasteful number, since it uses less digits than its factorization.

690490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68529 (or 68518 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 690490080 is about 26277.1779306683. The cubic root of 690490080 is about 883.8647513921.

The spelling of 690490080 in words is "six hundred ninety million, four hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 68501 137002 205503 274004 342505 411006 479507 548008 616509 685010 822012 959014 1027515 1096016 1233018 1370020 1438521 1644024 1918028 2055030 2192032 2397535 2466036 2740040 2877042 3082545 3288048 3836056 4110060 4315563 4795070 4932072 5480080 5754084 6165090 6576096 7192605 7672112 8220120 8631126 9590140 9864144 10960160 11508168 12330180 14385210 15344224 16440240 17262252 19180280 19728288 21577815 23016336 24660360 28770420 32880480 34524504 38360560 43155630 46032672 49320720 57540840 69049008 76721120 86311260 98641440 115081680 138098016 172622520 230163360 345245040 690490080