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76945140 = 2234547497
BaseRepresentation
bin1001001011000…
…01011011110100
312100210012220000
410211201123310
5124144221030
611345111300
71623010566
oct445413364
9170705800
1076945140
113a485028
1221928530
1312c30a8c
14a30d336
156b4d860
hex49616f4

76945140 has 60 divisors (see below), whose sum is σ = 241384836. Its totient is φ = 20518272.

The previous prime is 76945129. The next prime is 76945147. The reversal of 76945140 is 4154967.

It can be written as a sum of positive squares in 2 ways, for example, as 52620516 + 24324624 = 7254^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76945095 and 76945104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76945147) 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 19 ways as a sum of consecutive naturals, for example, 22129 + ... + 25368.

Almost surely, 276945140 is an apocalyptic number.

It is an amenable number.

76945140 is an abundant number, since it is smaller than the sum of its proper divisors (164439696).

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

76945140 is a wasteful number, since it uses less digits than its factorization.

76945140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47518 (or 47507 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76945140 is about 8771.8378917990. The cubic root of 76945140 is about 425.3310269909.

The spelling of 76945140 in words is "seventy-six million, nine hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 47497 94994 142491 189988 237485 284982 427473 474970 569964 712455 854946 949940 1282419 1424910 1709892 2137365 2564838 2849820 3847257 4274730 5129676 6412095 7694514 8549460 12824190 15389028 19236285 25648380 38472570 76945140