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690220416 = 2732961981
BaseRepresentation
bin101001001000111…
…110110110000000
31210002202211102010
4221020332312000
52403144023131
6152253452520
723050530264
oct5110766600
91702684363
10690220416
1132467a8a6
121731a1140
13accc6c62
14679500a4
15408deb46
hex2923ed80

690220416 has 64 divisors (see below), whose sum is σ = 1896649200. Its totient is φ = 222136320.

The previous prime is 690220411. The next prime is 690220423. The reversal of 690220416 is 614022096.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690220411) 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 7 ways as a sum of consecutive naturals, for example, 19855 + ... + 42126.

Almost surely, 2690220416 is an apocalyptic number.

It is an amenable number.

690220416 is an abundant number, since it is smaller than the sum of its proper divisors (1206428784).

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

690220416 is a wasteful number, since it uses less digits than its factorization.

690220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62027 (or 62015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 690220416 is about 26272.0462849775. The cubic root of 690220416 is about 883.7496748950.

The spelling of 690220416 in words is "six hundred ninety million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 61981 123962 185943 247924 371886 495848 743772 991696 1487544 1797449 1983392 2975088 3594898 3966784 5392347 5950176 7189796 7933568 10784694 11900352 14379592 21569388 23800704 28759184 43138776 57518368 86277552 115036736 172555104 230073472 345110208 690220416