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76053390 = 2357319389
BaseRepresentation
bin1001000100001…
…11101110001110
312022002220122020
410202013232032
5123432202030
611314031010
71612305000
oct442075616
9168086566
1076053390
1139a26046
1221578466
13129aac0a
14a15a370
156a24510
hex4887b8e

76053390 has 128 divisors (see below), whose sum is σ = 224640000. Its totient is φ = 16426368.

The previous prime is 76053377. The next prime is 76053391. The reversal of 76053390 is 9335067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76053391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195316 + ... + 195704.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 276053390 is an apocalyptic number.

76053390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76053390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320000).

76053390 is an abundant number, since it is smaller than the sum of its proper divisors (148586610).

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

76053390 is a wasteful number, since it uses less digits than its factorization.

76053390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 76053390 is about 8720.8594759920. The cubic root of 76053390 is about 423.6815240768.

The spelling of 76053390 in words is "seventy-six million, fifty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 343 389 399 490 570 665 686 735 778 798 931 1029 1167 1330 1470 1715 1862 1945 1995 2058 2334 2723 2793 3430 3890 3990 4655 5145 5446 5586 5835 6517 7391 8169 9310 10290 11670 13034 13615 13965 14782 16338 19061 19551 22173 27230 27930 32585 36955 38122 39102 40845 44346 51737 57183 65170 73910 81690 95305 97755 103474 110865 114366 133427 155211 190610 195510 221730 258685 266854 285915 310422 362159 400281 517370 571830 667135 724318 776055 800562 1086477 1334270 1552110 1810795 2001405 2172954 2535113 3621590 4002810 5070226 5432385 7605339 10864770 12675565 15210678 25351130 38026695 76053390