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76134912 = 29377397
BaseRepresentation
bin1001000100110…
…11101000000000
312022021001110120
410202123220000
5123442304122
611315500240
71613064450
oct442335000
9168231416
1076134912
1139a81317
12215b7680
1312a09059
14a17bd60
156a3d75c
hex489ba00

76134912 has 160 divisors (see below), whose sum is σ = 237401472. Its totient is φ = 21233664.

The previous prime is 76134901. The next prime is 76134913. The reversal of 76134912 is 21943167.

It is not an unprimeable number, because it can be changed into a prime (76134913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784848 + ... + 784944.

Almost surely, 276134912 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 76134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118700736).

76134912 is an abundant number, since it is smaller than the sum of its proper divisors (161266560).

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

76134912 is an equidigital number, since it uses as much as digits as its factorization.

76134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 76134912 is about 8725.5321900730. The cubic root of 76134912 is about 423.8328521178.

The spelling of 76134912 in words is "seventy-six million, one hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 97 112 128 146 168 192 194 219 224 256 291 292 336 384 388 438 448 511 512 582 584 672 679 768 776 876 896 1022 1164 1168 1344 1358 1533 1536 1552 1752 1792 2037 2044 2328 2336 2688 2716 3066 3104 3504 3584 4074 4088 4656 4672 5376 5432 6132 6208 7008 7081 8148 8176 9312 9344 10752 10864 12264 12416 14016 14162 16296 16352 18624 18688 21243 21728 24528 24832 28032 28324 32592 32704 37248 37376 42486 43456 49056 49567 49664 56064 56648 65184 65408 74496 84972 86912 98112 99134 112128 113296 130368 130816 148701 148992 169944 173824 196224 198268 226592 260736 261632 297402 339888 347648 392448 396536 453184 521472 594804 679776 784896 793072 906368 1042944 1189608 1359552 1586144 1812736 2379216 2719104 3172288 3625472 4758432 5438208 6344576 9516864 10876416 12689152 19033728 25378304 38067456 76134912