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4282020240 = 2435101176651
BaseRepresentation
bin1111111100111010…
…0111000110010000
3102001102101011111020
43333032213012100
532232144121430
61544522315440
7211053400011
oct37716470620
912042334436
104282020240
1118a80a8203
129b6058b80
135331957b4
142c89a7008
151a0dd1b10
hexff3a7190

4282020240 has 80 divisors (see below), whose sum is σ = 13405766976. Its totient is φ = 1130560000.

The previous prime is 4282020209. The next prime is 4282020263. The reversal of 4282020240 is 420202824.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4282020240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64086 + ... + 112565.

Almost surely, 24282020240 is an apocalyptic number.

4282020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4282020240 is an abundant number, since it is smaller than the sum of its proper divisors (9123746736).

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

4282020240 is a wasteful number, since it uses less digits than its factorization.

4282020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176768 (or 176762 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4282020240 is about 65437.1472483329. The cubic root of 4282020240 is about 1623.8636934948.

The spelling of 4282020240 in words is "four billion, two hundred eighty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 176651 353302 529953 706604 883255 1059906 1413208 1766510 2119812 2649765 2826416 3533020 4239624 5299530 7066040 8479248 10599060 14132080 17841751 21198120 35683502 42396240 53525253 71367004 89208755 107050506 142734008 178417510 214101012 267626265 285468016 356835020 428202024 535252530 713670040 856404048 1070505060 1427340080 2141010120 4282020240