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1000700640 = 25325809859
BaseRepresentation
bin111011101001010…
…111101011100000
32120201222212012200
4323221113223200
54022134410030
6243144253200
733540546402
oct7351275340
92521885180
101000700640
11473962225
1223b171200
1312c424074
1496c90b72
155ccbdd60
hex3ba57ae0

1000700640 has 144 divisors (see below), whose sum is σ = 3423092400. Its totient is φ = 266213376.

The previous prime is 1000700621. The next prime is 1000700693. The reversal of 1000700640 is 460070001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164531 + ... + 1165389.

It is an arithmetic number, because the mean of its divisors is an integer number (23771475).

Almost surely, 21000700640 is an apocalyptic number.

1000700640 is a gapful number since it is divisible by the number (10) 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 1000700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711546200).

1000700640 is an abundant number, since it is smaller than the sum of its proper divisors (2422391760).

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

1000700640 is a wasteful number, since it uses less digits than its factorization.

1000700640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1000700640 is about 31633.8527530239. The cubic root of 1000700640 is about 1000.2334921438.

Adding to 1000700640 its reverse (460070001), we get a palindrome (1460770641).

The spelling of 1000700640 in words is "one billion, seven hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 809 859 1440 1618 1718 2427 2577 3236 3436 4045 4295 4854 5154 6472 6872 7281 7731 8090 8590 9708 10308 12135 12885 12944 13744 14562 15462 16180 17180 19416 20616 24270 25770 25888 27488 29124 30924 32360 34360 36405 38655 38832 41232 48540 51540 58248 61848 64720 68720 72810 77310 77664 82464 97080 103080 116496 123696 129440 137440 145620 154620 194160 206160 232992 247392 291240 309240 388320 412320 582480 618480 694931 1164960 1236960 1389862 2084793 2779724 3474655 4169586 5559448 6254379 6949310 8339172 10423965 11118896 12508758 13898620 16678344 20847930 22237792 25017516 27797240 31271895 33356688 41695860 50035032 55594480 62543790 66713376 83391720 100070064 111188960 125087580 166783440 200140128 250175160 333566880 500350320 1000700640