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76934820 = 223559103211
BaseRepresentation
bin1001001010111…
…10111010100100
312100202200201210
410211132322210
5124143403240
611344551420
71622635524
oct445367244
9170680653
1076934820
113a4782a6
1221922570
1312c29181
14a309684
156b4a780
hex495eea4

76934820 has 96 divisors (see below), whose sum is σ = 222243840. Its totient is φ = 19877760.

The previous prime is 76934813. The next prime is 76934873. The reversal of 76934820 is 2843967.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364515 + ... + 364725.

It is an arithmetic number, because the mean of its divisors is an integer number (2315040).

Almost surely, 276934820 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 76934820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111121920).

76934820 is an abundant number, since it is smaller than the sum of its proper divisors (145309020).

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

76934820 is a wasteful number, since it uses less digits than its factorization.

76934820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 76934820 is about 8771.2496259085. The cubic root of 76934820 is about 425.3120107911.

The spelling of 76934820 in words is "seventy-six million, nine hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 103 118 177 206 211 236 295 309 354 412 422 515 590 618 633 708 844 885 1030 1055 1180 1236 1266 1545 1770 2060 2110 2532 3090 3165 3540 4220 6077 6180 6330 12154 12449 12660 18231 21733 24308 24898 30385 36462 37347 43466 49796 60770 62245 65199 72924 74694 86932 91155 108665 121540 124490 130398 149388 182310 186735 217330 248980 260796 325995 364620 373470 434660 651990 746940 1282247 1303980 2564494 3846741 5128988 6411235 7693482 12822470 15386964 19233705 25644940 38467410 76934820