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1320929680 = 245710322901
BaseRepresentation
bin100111010111011…
…1100100110010000
310102001120011212111
41032232330212100
510201124222210
6335024035104
744506500640
oct11656744620
93361504774
101320929680
116186a3024
1230a462a94
131808855c5
14c760c520
157ae7688a
hex4ebbc990

1320929680 has 80 divisors (see below), whose sum is σ = 3544130304. Its totient is φ = 448473600.

The previous prime is 1320929657. The next prime is 1320929681. The reversal of 1320929680 is 869290231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1320929681) 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, 46230 + ... + 69130.

Almost surely, 21320929680 is an apocalyptic number.

1320929680 is a gapful number since it is divisible by the number (10) 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 1320929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772065152).

1320929680 is an abundant number, since it is smaller than the sum of its proper divisors (2223200624).

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

1320929680 is a wasteful number, since it uses less digits than its factorization.

1320929680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23024 (or 23018 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1320929680 is about 36344.5962971113. The cubic root of 1320929680 is about 1097.2187811086.

The spelling of 1320929680 in words is "one billion, three hundred twenty million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 515 560 721 824 1030 1442 1648 2060 2884 3605 4120 5768 7210 8240 11536 14420 22901 28840 45802 57680 91604 114505 160307 183208 229010 320614 366416 458020 641228 801535 916040 1282456 1603070 1832080 2358803 2564912 3206140 4717606 6412280 9435212 11794015 12824560 16511621 18870424 23588030 33023242 37740848 47176060 66046484 82558105 94352120 132092968 165116210 188704240 264185936 330232420 660464840 1320929680