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76546340 = 225133773109
BaseRepresentation
bin1001001000000…
…00000100100100
312100000221211122
410210000010210
5124043440330
611332353112
71616430113
oct444000444
9170027748
1076546340
113a232442
1221775798
1312b213c0
14a247c7a
156ac05e5
hex4900124

76546340 has 96 divisors (see below), whose sum is σ = 181880160. Its totient is φ = 26873856.

The previous prime is 76546331. The next prime is 76546357. The reversal of 76546340 is 4364567.

76546340 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 16 ways, for example, as 6522916 + 70023424 = 2554^2 + 8368^2 .

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 76546340.

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, 702206 + ... + 702314.

It is an arithmetic number, because the mean of its divisors is an integer number (1894585).

Almost surely, 276546340 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 76546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90940080).

76546340 is an abundant number, since it is smaller than the sum of its proper divisors (105333820).

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

76546340 is a wasteful number, since it uses less digits than its factorization.

76546340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 76546340 is about 8749.0765226966. The cubic root of 76546340 is about 424.5949358585.

The spelling of 76546340 in words is "seventy-six million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 73 74 109 130 146 148 185 218 260 292 365 370 436 481 545 730 740 949 962 1090 1417 1460 1898 1924 2180 2405 2701 2834 3796 4033 4745 4810 5402 5668 7085 7957 8066 9490 9620 10804 13505 14170 15914 16132 18980 20165 27010 28340 31828 35113 39785 40330 52429 54020 70226 79570 80660 103441 104858 140452 159140 175565 206882 209716 262145 294409 351130 413764 517205 524290 588818 702260 1034410 1048580 1177636 1472045 2068820 2944090 3827317 5888180 7654634 15309268 19136585 38273170 76546340