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1690307616 = 25383307691
BaseRepresentation
bin110010011000000…
…0000110000100000
311100210121112010210
41210300000300200
511430204320431
6435421054120
756613243354
oct14460006040
94323545123
101690307616
11798153148
123b20b7340
1320c264a2a
141206c1464
159d5dbd46
hex64c00c20

1690307616 has 96 divisors (see below), whose sum is σ = 4511662848. Its totient is φ = 554031360.

The previous prime is 1690307573. The next prime is 1690307617. The reversal of 1690307616 is 6167030961.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1690307617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445831 + ... + 2446521.

It is an arithmetic number, because the mean of its divisors is an integer number (46996488).

Almost surely, 21690307616 is an apocalyptic number.

1690307616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255831424).

1690307616 is an abundant number, since it is smaller than the sum of its proper divisors (2821355232).

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

1690307616 is a wasteful number, since it uses less digits than its factorization.

1690307616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 1690307616 is about 41113.3508242760. The cubic root of 1690307616 is about 1191.2106916675.

The spelling of 1690307616 in words is "one billion, six hundred ninety million, three hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 307 332 498 614 664 691 921 996 1228 1328 1382 1842 1992 2073 2456 2656 2764 3684 3984 4146 4912 5528 7368 7968 8292 9824 11056 14736 16584 22112 25481 29472 33168 50962 57353 66336 76443 101924 114706 152886 172059 203848 212137 229412 305772 344118 407696 424274 458824 611544 636411 688236 815392 848548 917648 1223088 1272822 1376472 1697096 1835296 2446176 2545644 2752944 3394192 5091288 5505888 6788384 10182576 17607371 20365152 35214742 52822113 70429484 105644226 140858968 211288452 281717936 422576904 563435872 845153808 1690307616