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77000040 = 233251316453
BaseRepresentation
bin1001001011011…
…10110101101000
312100220000012100
410211232311220
5124203000130
611350213400
71623326625
oct445566550
9170800170
1077000040
113a5122a7
1221954260
1312c4ca70
14a32534c
156b5ec60
hex496ed68

77000040 has 96 divisors (see below), whose sum is σ = 269516520. Its totient is φ = 18952704.

The previous prime is 77000039. The next prime is 77000047. The reversal of 77000040 is 4000077.

It can be written as a sum of positive squares in 4 ways, for example, as 64931364 + 12068676 = 8058^2 + 3474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 76999977 and 77000022.

It is not an unprimeable number, because it can be changed into a prime (77000047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3547 + ... + 12906.

Almost surely, 277000040 is an apocalyptic number.

It is an amenable number.

77000040 is an abundant number, since it is smaller than the sum of its proper divisors (192516480).

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

77000040 is a wasteful number, since it uses less digits than its factorization.

77000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483 (or 16476 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77000040 is about 8774.9666666034. The cubic root of 77000040 is about 425.4321601794.

The spelling of 77000040 in words is "seventy-seven million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 16453 32906 49359 65812 82265 98718 131624 148077 164530 197436 213889 246795 296154 329060 394872 427778 493590 592308 641667 658120 740385 855556 987180 1069445 1184616 1283334 1480770 1711112 1925001 1974360 2138890 2566668 2961540 3208335 3850002 4277780 5133336 5923080 6416670 7700004 8555560 9625005 12833340 15400008 19250010 25666680 38500020 77000040