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31678020 = 22335115333
BaseRepresentation
bin111100011010…
…1111001000100
32012121102002000
41320311321010
531102144040
63050545300
7533154513
oct170657104
965542060
1031678020
1116977190
12a738230
1367419ba
1442c867a
152bab130
hex1e35e44

31678020 has 96 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 7678080.

The previous prime is 31678019. The next prime is 31678033. The reversal of 31678020 is 2087613.

It is a super-2 number, since 2×316780202 = 2006993902240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 3274 + ... + 8606.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 231678020 is an apocalyptic number.

31678020 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 31678020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

31678020 is an abundant number, since it is smaller than the sum of its proper divisors (75855420).

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

31678020 is a wasteful number, since it uses less digits than its factorization.

31678020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 31678020 is about 5628.3230184487. The cubic root of 31678020 is about 316.4118035514.

The spelling of 31678020 in words is "thirty-one million, six hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5333 5940 10666 15999 21332 26665 31998 47997 53330 58663 63996 79995 95994 106660 117326 143991 159990 175989 191988 234652 239985 287982 293315 319980 351978 479970 527967 575964 586630 703956 719955 879945 959940 1055934 1173260 1439910 1583901 1759890 2111868 2639835 2879820 3167802 3519780 5279670 6335604 7919505 10559340 15839010 31678020