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76394040 = 23352389311
BaseRepresentation
bin1001000110110…
…10111000111000
312022202012220220
410203122320320
5124024102130
611325220040
71615224102
oct443327070
9168665826
1076394040
113a138a78
1221701620
1312a99c98
14a208572
156a90410
hex48dae38

76394040 has 128 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 19205120.

The previous prime is 76394023. The next prime is 76394047. The reversal of 76394040 is 4049367.

It is a junction number, because it is equal to n+sod(n) for n = 76393992 and 76394010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76394047) 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, 245485 + ... + 245795.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 276394040 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 76394040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

76394040 is an abundant number, since it is smaller than the sum of its proper divisors (166217160).

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

76394040 is a wasteful number, since it uses less digits than its factorization.

76394040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 76394040 is about 8740.3684132879. The cubic root of 76394040 is about 424.3131512406.

The spelling of 76394040 in words is "seventy-six million, three hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 138 178 184 230 267 276 311 345 356 445 460 534 552 622 690 712 890 920 933 1068 1244 1335 1380 1555 1780 1866 2047 2136 2488 2670 2760 3110 3560 3732 4094 4665 5340 6141 6220 7153 7464 8188 9330 10235 10680 12282 12440 14306 16376 18660 20470 21459 24564 27679 28612 30705 35765 37320 40940 42918 49128 55358 57224 61410 71530 81880 83037 85836 107295 110716 122820 138395 143060 166074 171672 214590 221432 245640 276790 286120 332148 415185 429180 553580 636617 664296 830370 858360 1107160 1273234 1660740 1909851 2546468 3183085 3321480 3819702 5092936 6366170 7639404 9549255 12732340 15278808 19098510 25464680 38197020 76394040