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76626340 = 22572353449
BaseRepresentation
bin1001001000100…
…11100110100100
312100012000120121
410210103212210
5124104020330
611334211324
71620212260
oct444234644
9170160517
1076626340
113a28755a
12217b3b44
1312b4b93b
14a2690a0
156ad917a
hex49139a4

76626340 has 96 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 24600576.

The previous prime is 76626337. The next prime is 76626353. The reversal of 76626340 is 4362667.

It is a junction number, because it is equal to n+sod(n) for n = 76626296 and 76626305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170436 + ... + 170884.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 276626340 is an apocalyptic number.

76626340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76626340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

76626340 is an abundant number, since it is smaller than the sum of its proper divisors (119328860).

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

76626340 is a wasteful number, since it uses less digits than its factorization.

76626340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 76626340 is about 8753.6472398652. The cubic root of 76626340 is about 424.7428017062.

The spelling of 76626340 in words is "seventy-six million, six hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 70 92 106 115 140 161 212 230 265 322 371 449 460 530 644 742 805 898 1060 1219 1484 1610 1796 1855 2245 2438 3143 3220 3710 4490 4876 6095 6286 7420 8533 8980 10327 12190 12572 15715 17066 20654 23797 24380 31430 34132 41308 42665 47594 51635 62860 72289 85330 95188 103270 118985 144578 166579 170660 206540 237970 289156 333158 361445 475940 547331 666316 722890 832895 1094662 1445780 1665790 2189324 2736655 3331580 3831317 5473310 7662634 10946620 15325268 19156585 38313170 76626340