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39820307040 = 2532527652991
BaseRepresentation
bin100101000101011110…
…011010101001100000
310210210010221012002200
4211011132122221200
51123022444311130
630143155213200
72606533011423
oct450536325140
9123703835080
1039820307040
1115984586068
1278738a7200
1339a7a88377
141cda7939ba
151080d3e760
hex94579aa60

39820307040 has 72 divisors (see below), whose sum is σ = 135886802688. Its totient is φ = 10618748160.

The previous prime is 39820307029. The next prime is 39820307099. The reversal of 39820307040 is 4070302893.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39820306986 and 39820307004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13825056 + ... + 13827935.

It is an arithmetic number, because the mean of its divisors is an integer number (1887316704).

Almost surely, 239820307040 is an apocalyptic number.

39820307040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39820307040 is an abundant number, since it is smaller than the sum of its proper divisors (96066495648).

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

39820307040 is a wasteful number, since it uses less digits than its factorization.

39820307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27653012 (or 27653001 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 39820307040 in words is "thirty-nine billion, eight hundred twenty million, three hundred seven thousand, 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 1440 27652991 55305982 82958973 110611964 138264955 165917946 221223928 248876919 276529910 331835892 414794865 442447856 497753838 553059820 663671784 829589730 884895712 995507676 1106119640 1244384595 1327343568 1659179460 1991015352 2212239280 2488769190 2654687136 3318358920 3982030704 4424478560 4977538380 6636717840 7964061408 9955076760 13273435680 19910153520 39820307040