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31421820 = 22351943641
BaseRepresentation
bin111011111011…
…1010101111100
32012010101122010
41313313111330
531020444240
63041251220
7531036543
oct167672574
965111563
1031421820
1116811751
12a633b10
1366821c1
14425d15a
152b5a280
hex1df757c

31421820 has 96 divisors (see below), whose sum is σ = 94913280. Its totient is φ = 7741440.

The previous prime is 31421813. The next prime is 31421827. The reversal of 31421820 is 2812413.

It is an interprime number because it is at equal distance from previous prime (31421813) and next prime (31421827).

It is a super-2 number, since 2×314218202 = 1974661544224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48700 + ... + 49340.

It is an arithmetic number, because the mean of its divisors is an integer number (988680).

Almost surely, 231421820 is an apocalyptic number.

31421820 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 31421820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47456640).

31421820 is an abundant number, since it is smaller than the sum of its proper divisors (63491460).

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

31421820 is a wasteful number, since it uses less digits than its factorization.

31421820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 31421820 is about 5605.5169253156. The cubic root of 31421820 is about 315.5564867136.

The spelling of 31421820 in words is "thirty-one million, four hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 380 430 516 570 641 645 817 860 1140 1282 1290 1634 1923 2451 2564 2580 3205 3268 3846 4085 4902 6410 7692 8170 9615 9804 12179 12255 12820 16340 19230 24358 24510 27563 36537 38460 48716 49020 55126 60895 73074 82689 110252 121790 137815 146148 165378 182685 243580 275630 330756 365370 413445 523697 551260 730740 826890 1047394 1571091 1653780 2094788 2618485 3142182 5236970 6284364 7855455 10473940 15710910 31421820