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76020240 = 2435893559
BaseRepresentation
bin1001000011111…
…11101000010000
312022001020011110
410201333220100
5123430121430
611313213320
71612106232
oct441775020
9168036143
1076020240
1139a0314a
1221561240
1312998aba
14a14c252
156a197b0
hex487fa10

76020240 has 80 divisors (see below), whose sum is σ = 238377600. Its totient is φ = 20038656.

The previous prime is 76020239. The next prime is 76020289. The reversal of 76020240 is 4202067.

It is a happy number.

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

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, 19581 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (2979720).

Almost surely, 276020240 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 76020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119188800).

76020240 is an abundant number, since it is smaller than the sum of its proper divisors (162357360).

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

76020240 is a wasteful number, since it uses less digits than its factorization.

76020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 76020240 is about 8718.9586534173. The cubic root of 76020240 is about 423.6199573114.

The spelling of 76020240 in words is "seventy-six 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 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3559 3560 4272 5340 7118 7120 10677 10680 14236 17795 21354 21360 28472 35590 42708 53385 56944 71180 85416 106770 142360 170832 213540 284720 316751 427080 633502 854160 950253 1267004 1583755 1900506 2534008 3167510 3801012 4751265 5068016 6335020 7602024 9502530 12670040 15204048 19005060 25340080 38010120 76020240