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5618920720 = 245783120889
BaseRepresentation
bin1010011101110100…
…11110110100010000
3112111120222202011211
411032322132310100
543001420430340
62325320545504
7256146016030
oct51672366420
915446882154
105618920720
112423809336
121109922294
136b715057a
143b43718c0
1522d4605ea
hex14ee9ed10

5618920720 has 80 divisors (see below), whose sum is σ = 15110282880. Its totient is φ = 1903260672.

The previous prime is 5618920691. The next prime is 5618920721. The reversal of 5618920720 is 270298165.

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 (5618920721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13965 + ... + 106924.

It is an arithmetic number, because the mean of its divisors is an integer number (188878536).

Almost surely, 25618920720 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 5618920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555141440).

5618920720 is an abundant number, since it is smaller than the sum of its proper divisors (9491362160).

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

5618920720 is a wasteful number, since it uses less digits than its factorization.

5618920720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120992 (or 120986 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 5618920720 is about 74959.4605103318. The cubic root of 5618920720 is about 1777.8057294332.

The spelling of 5618920720 in words is "five billion, six hundred eighteen million, nine hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2905 3320 4648 5810 6640 9296 11620 23240 46480 120889 241778 483556 604445 846223 967112 1208890 1692446 1934224 2417780 3384892 4231115 4835560 6769784 8462230 9671120 10033787 13539568 16924460 20067574 33848920 40135148 50168935 67697840 70236509 80270296 100337870 140473018 160540592 200675740 280946036 351182545 401351480 561892072 702365090 802702960 1123784144 1404730180 2809460360 5618920720