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2145645840 = 243513687707
BaseRepresentation
bin111111111100011…
…1111010100010000
312112112102002202110
41333320333110100
513343241131330
6552524345320
7104112455142
oct17770772420
95475362673
102145645840
11a01185528
124ba6a5240
132826b0430
14164d6cc92
15c8581db0
hex7fe3f510

2145645840 has 80 divisors (see below), whose sum is σ = 7163166528. Its totient is φ = 528158208.

The previous prime is 2145645797. The next prime is 2145645841. The reversal of 2145645840 is 485465412.

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 (39).

It is not an unprimeable number, because it can be changed into a prime (2145645841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340734 + ... + 346973.

Almost surely, 22145645840 is an apocalyptic number.

2145645840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145645840 is an abundant number, since it is smaller than the sum of its proper divisors (5017520688).

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

2145645840 is a wasteful number, since it uses less digits than its factorization.

2145645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687736 (or 687730 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 2145645840 is about 46321.1165668532. The cubic root of 2145645840 is about 1289.7910123558.

The spelling of 2145645840 in words is "two billion, one hundred forty-five million, six hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 687707 1375414 2063121 2750828 3438535 4126242 5501656 6877070 8252484 8940191 10315605 11003312 13754140 16504968 17880382 20631210 26820573 27508280 33009936 35760764 41262420 44700955 53641146 55016560 71521528 82524840 89401910 107282292 134102865 143043056 165049680 178803820 214564584 268205730 357607640 429129168 536411460 715215280 1072822920 2145645840