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40120680 = 23351771277
BaseRepresentation
bin1001100100001…
…1000101101000
32210111100020010
42121003011220
540232330210
63551531520
7665006625
oct231030550
983440203
1040120680
1120713296
1211529ba0
138409762
14548534c
1537c7920
hex2643168

40120680 has 128 divisors (see below), whose sum is σ = 129703680. Its totient is φ = 9891840.

The previous prime is 40120679. The next prime is 40120699. The reversal of 40120680 is 8602104.

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, 144702 + ... + 144978.

It is an arithmetic number, because the mean of its divisors is an integer number (1013310).

Almost surely, 240120680 is an apocalyptic number.

40120680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64851840).

40120680 is an abundant number, since it is smaller than the sum of its proper divisors (89583000).

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

40120680 is a wasteful number, since it uses less digits than its factorization.

40120680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 40120680 is about 6334.0887268809. The cubic root of 40120680 is about 342.3387771939.

Adding to 40120680 its reverse (8602104), we get a palindrome (48722784).

The spelling of 40120680 in words is "forty million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 71 85 102 120 136 142 170 204 213 255 277 284 340 355 408 426 510 554 568 680 710 831 852 1020 1065 1108 1207 1385 1420 1662 1704 2040 2130 2216 2414 2770 2840 3324 3621 4155 4260 4709 4828 5540 6035 6648 7242 8310 8520 9418 9656 11080 12070 14127 14484 16620 18105 18836 19667 23545 24140 28254 28968 33240 36210 37672 39334 47090 48280 56508 59001 70635 72420 78668 94180 98335 113016 118002 141270 144840 157336 188360 196670 236004 282540 295005 334339 393340 472008 565080 590010 668678 786680 1003017 1180020 1337356 1671695 2006034 2360040 2674712 3343390 4012068 5015085 6686780 8024136 10030170 13373560 20060340 40120680