Search a number
-
+
76014420 = 223559109197
BaseRepresentation
bin1001000011111…
…10001101010100
312022000221011220
410201332031110
5123424430140
611313130340
71612053246
oct441761524
9168027156
1076014420
11399a9839
12215599b0
1312996261
14a14a096
156a17bd0
hex487e354

76014420 has 96 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 19643904.

The previous prime is 76014413. The next prime is 76014427. The reversal of 76014420 is 2441067.

It is an interprime number because it is at equal distance from previous prime (76014413) and next prime (76014427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76014427) 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 31 ways as a sum of consecutive naturals, for example, 385762 + ... + 385958.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 276014420 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 76014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

76014420 is an abundant number, since it is smaller than the sum of its proper divisors (143527980).

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

76014420 is a wasteful number, since it uses less digits than its factorization.

76014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 76014420 is about 8718.6248915755. The cubic root of 76014420 is about 423.6091464577.

Adding to 76014420 its reverse (2441067), we get a palindrome (78455487).

It can be divided in two parts, 7601 and 4420, that added together give a palindrome (12021).

The spelling of 76014420 in words is "seventy-six million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 109 118 177 197 218 236 295 327 354 394 436 545 590 591 654 708 788 885 985 1090 1180 1182 1308 1635 1770 1970 2180 2364 2955 3270 3540 3940 5910 6431 6540 11623 11820 12862 19293 21473 23246 25724 32155 34869 38586 42946 46492 58115 64310 64419 69738 77172 85892 96465 107365 116230 128620 128838 139476 174345 192930 214730 232460 257676 322095 348690 385860 429460 644190 697380 1266907 1288380 2533814 3800721 5067628 6334535 7601442 12669070 15202884 19003605 25338140 38007210 76014420