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6000100040 = 2351120116781
BaseRepresentation
bin1011001011010001…
…00100001011001000
3120111011020122220102
411211220210023020
544242011200130
62431214544532
7301455003014
oct54550441310
916434218812
106000100040
1125a9999a70
1211b5508148
1374810246c
1440cc37544
15251b57645
hex165a242c8

6000100040 has 64 divisors (see below), whose sum is σ = 14737014720. Its totient is φ = 2180448000.

The previous prime is 6000100039. The next prime is 6000100069. The reversal of 6000100040 is 400010006.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 6000099994 and 6000100030.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 881450 + ... + 888230.

It is an arithmetic number, because the mean of its divisors is an integer number (230265855).

Almost surely, 26000100040 is an apocalyptic number.

It is an amenable number.

6000100040 is an abundant number, since it is smaller than the sum of its proper divisors (8736914680).

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

6000100040 is a wasteful number, since it uses less digits than its factorization.

6000100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814 (or 8810 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6000100040 is about 77460.3126768799. The cubic root of 6000100040 is about 1817.1306919285.

Adding to 6000100040 its reverse (400010006), we get a palindrome (6400110046).

The spelling of 6000100040 in words is "six billion, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2011 4022 6781 8044 10055 13562 16088 20110 22121 27124 33905 40220 44242 54248 67810 74591 80440 88484 110605 135620 149182 176968 221210 271240 298364 372955 442420 596728 745910 884840 1491820 2983640 13636591 27273182 54546364 68182955 109092728 136365910 150002501 272731820 300005002 545463640 600010004 750012505 1200020008 1500025010 3000050020 6000100040