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31366980 = 22335292003
BaseRepresentation
bin111011110100…
…1111101000100
32012000121102000
41313221331010
531012220410
63040145300
7530420631
oct167517504
965017360
1031366980
1116784527
12a608230
136663258
144247188
152b48dc0
hex1de9f44

31366980 has 96 divisors (see below), whose sum is σ = 101001600. Its totient is φ = 8072064.

The previous prime is 31366969. The next prime is 31366991. The reversal of 31366980 is 8966313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31366969) and next prime (31366991).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14659 + ... + 16661.

It is an arithmetic number, because the mean of its divisors is an integer number (1052100).

Almost surely, 231366980 is an apocalyptic number.

31366980 is a gapful number since it is divisible by the number (30) 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 31366980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50500800).

31366980 is an abundant number, since it is smaller than the sum of its proper divisors (69634620).

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

31366980 is a wasteful number, since it uses less digits than its factorization.

31366980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31366980 is about 5600.6231796114. The cubic root of 31366980 is about 315.3728012475.

The spelling of 31366980 in words is "thirty-one million, three hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2003 2610 3132 3915 4006 5220 6009 7830 8012 10015 12018 15660 18027 20030 24036 30045 36054 40060 54081 58087 60090 72108 90135 108162 116174 120180 174261 180270 216324 232348 270405 290435 348522 360540 522783 540810 580870 697044 871305 1045566 1081620 1161740 1568349 1742610 2091132 2613915 3136698 3485220 5227830 6273396 7841745 10455660 15683490 31366980