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39131940 = 22353717627
BaseRepresentation
bin1001010101000…
…1101100100100
32201122002221010
42111101230210
540004210230
63514422220
7653421201
oct225215444
981562833
1039131940
11200a8451
1211131970
1381516c3
1452a8ca8
15367e9b0
hex2551b24

39131940 has 48 divisors (see below), whose sum is σ = 112537152. Its totient is φ = 10152576.

The previous prime is 39131881. The next prime is 39131959. The reversal of 39131940 is 4913193.

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 = 39131898 and 39131907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6594 + ... + 11033.

It is an arithmetic number, because the mean of its divisors is an integer number (2344524).

Almost surely, 239131940 is an apocalyptic number.

39131940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39131940 is an abundant number, since it is smaller than the sum of its proper divisors (73405212).

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

39131940 is a wasteful number, since it uses less digits than its factorization.

39131940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 39131940 is about 6255.5527333722. The cubic root of 39131940 is about 339.5031381590.

The spelling of 39131940 in words is "thirty-nine million, one hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 17627 35254 52881 70508 88135 105762 176270 211524 264405 352540 528810 652199 1057620 1304398 1956597 2608796 3260995 3913194 6521990 7826388 9782985 13043980 19565970 39131940