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76946640 = 2435320611
BaseRepresentation
bin1001001011000…
…01110011010000
312100210021221120
410211201303100
5124144243030
611345122240
71623015141
oct445416320
9170707846
1076946640
113a486171
1221929380
1312c31674
14a30dac8
156b4e010
hex4961cd0

76946640 has 40 divisors (see below), whose sum is σ = 238535328. Its totient is φ = 20519040.

The previous prime is 76946629. The next prime is 76946659. The reversal of 76946640 is 4664967.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 76946592 and 76946601.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 160066 + ... + 160545.

Almost surely, 276946640 is an apocalyptic number.

It is an amenable number.

76946640 is an abundant number, since it is smaller than the sum of its proper divisors (161588688).

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

76946640 is a wasteful number, since it uses less digits than its factorization.

76946640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320627 (or 320621 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 76946640 is about 8771.9233922783. The cubic root of 76946640 is about 425.3337908318. Note that the first 3 decimals are identical.

The spelling of 76946640 in words is "seventy-six million, nine hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 320611 641222 961833 1282444 1603055 1923666 2564888 3206110 3847332 4809165 5129776 6412220 7694664 9618330 12824440 15389328 19236660 25648880 38473320 76946640