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940066000 = 24531743643
BaseRepresentation
bin111000000010000…
…100010011010000
32102111220022010021
4320002010103100
53411124103000
6233140513224
732203300126
oct7002042320
92374808107
10940066000
11442708555
122229ab814
1311c9b4293
148cbc9916
15577e311a
hex380844d0

940066000 has 160 divisors (see below), whose sum is σ = 2466592128. Its totient is φ = 345139200.

The previous prime is 940065967. The next prime is 940066003. The reversal of 940066000 is 660049.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940066003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461679 + ... + 1462321.

Almost surely, 2940066000 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 940066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233296064).

940066000 is an abundant number, since it is smaller than the sum of its proper divisors (1526526128).

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

940066000 is a wasteful number, since it uses less digits than its factorization.

940066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 940066000 is about 30660.4957559398. The cubic root of 940066000 is about 979.6090346624.

The spelling of 940066000 in words is "nine hundred forty million, sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 43 50 68 80 85 86 100 125 136 170 172 200 215 250 272 340 344 400 425 430 500 643 680 688 731 850 860 1000 1075 1286 1360 1462 1700 1720 2000 2125 2150 2572 2924 3215 3400 3440 3655 4250 4300 5144 5375 5848 6430 6800 7310 8500 8600 10288 10750 10931 11696 12860 14620 16075 17000 17200 18275 21500 21862 25720 27649 29240 32150 34000 36550 43000 43724 51440 54655 55298 58480 64300 73100 80375 86000 87448 91375 109310 110596 128600 138245 146200 160750 174896 182750 218620 221192 257200 273275 276490 292400 321500 365500 437240 442384 470033 546550 552980 643000 691225 731000 874480 940066 1093100 1105960 1286000 1366375 1382450 1462000 1880132 2186200 2211920 2350165 2732750 2764900 3456125 3760264 4372400 4700330 5465500 5529800 6912250 7520528 9400660 10931000 11059600 11750825 13824500 18801320 21862000 23501650 27649000 37602640 47003300 55298000 58754125 94006600 117508250 188013200 235016500 470033000 940066000