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39066240 = 273520347
BaseRepresentation
bin1001010100000…
…1101010000000
32201111202210210
42111001222000
540000104430
63513154120
7653025513
oct225015200
981452723
1039066240
1120063054
12110bb940
13812a825
14528cd7a
15366a2b0
hex2541a80

39066240 has 64 divisors (see below), whose sum is σ = 124529760. Its totient is φ = 10417152.

The previous prime is 39066239. The next prime is 39066241. The reversal of 39066240 is 4266093.

It is an interprime number because it is at equal distance from previous prime (39066239) and next prime (39066241).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×390662402 = 3052342215475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 39066198 and 39066207.

It is not an unprimeable number, because it can be changed into a prime (39066241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8254 + ... + 12093.

Almost surely, 239066240 is an apocalyptic number.

39066240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39066240 is an abundant number, since it is smaller than the sum of its proper divisors (85463520).

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

39066240 is a wasteful number, since it uses less digits than its factorization.

39066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 39066240 is about 6250.2991928387. The cubic root of 39066240 is about 339.3130304455.

The spelling of 39066240 in words is "thirty-nine million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 20347 40694 61041 81388 101735 122082 162776 203470 244164 305205 325552 406940 488328 610410 651104 813880 976656 1220820 1302208 1627760 1953312 2441640 2604416 3255520 3906624 4883280 6511040 7813248 9766560 13022080 19533120 39066240