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40700040 = 23351771281
BaseRepresentation
bin1001101101000…
…0100010001000
32211120202221220
42123100202020
540404400130
64012202040
71002642003
oct233204210
984522856
1040700040
1120a795a7
1211769320
138580384
14559653a
15388e410
hex26d0888

40700040 has 128 divisors (see below), whose sum is σ = 131569920. Its totient is φ = 10035200.

The previous prime is 40700017. The next prime is 40700053. The reversal of 40700040 is 4000704.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 40699992 and 40700019.

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, 144700 + ... + 144980.

It is an arithmetic number, because the mean of its divisors is an integer number (1027890).

Almost surely, 240700040 is an apocalyptic number.

40700040 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 40700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65784960).

40700040 is an abundant number, since it is smaller than the sum of its proper divisors (90869880).

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

40700040 is a wasteful number, since it uses less digits than its factorization.

40700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40700040 is about 6379.6582980595. The cubic root of 40700040 is about 343.9787484618.

Adding to 40700040 its reverse (4000704), we get a palindrome (44700744).

The spelling of 40700040 in words is "forty million, seven hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 71 85 102 120 136 142 170 204 213 255 281 284 340 355 408 426 510 562 568 680 710 843 852 1020 1065 1124 1207 1405 1420 1686 1704 2040 2130 2248 2414 2810 2840 3372 3621 4215 4260 4777 4828 5620 6035 6744 7242 8430 8520 9554 9656 11240 12070 14331 14484 16860 18105 19108 19951 23885 24140 28662 28968 33720 36210 38216 39902 47770 48280 57324 59853 71655 72420 79804 95540 99755 114648 119706 143310 144840 159608 191080 199510 239412 286620 299265 339167 399020 478824 573240 598530 678334 798040 1017501 1197060 1356668 1695835 2035002 2394120 2713336 3391670 4070004 5087505 6783340 8140008 10175010 13566680 20350020 40700040