Search a number
-
+
31432980 = 22353714159
BaseRepresentation
bin111011111101…
…0000100010100
32012010221221110
41313322010110
531021323410
63041415020
7531114225
oct167720424
965127843
1031432980
111681a077
12a63a470
1366872c7
14426324c
152b5d720
hex1dfa114

31432980 has 48 divisors (see below), whose sum is σ = 90397440. Its totient is φ = 8155008.

The previous prime is 31432969. The next prime is 31432991. The reversal of 31432980 is 8923413.

It is an interprime number because it is at equal distance from previous prime (31432969) and next prime (31432991).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4860 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (1883280).

Almost surely, 231432980 is an apocalyptic number.

31432980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31432980 is an abundant number, since it is smaller than the sum of its proper divisors (58964460).

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

31432980 is a wasteful number, since it uses less digits than its factorization.

31432980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208 (or 14206 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 31432980 is about 5606.5122848345. The cubic root of 31432980 is about 315.5938407301.

The spelling of 31432980 in words is "thirty-one million, four hundred thirty-two thousand, nine hundred eighty".

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 14159 28318 42477 56636 70795 84954 141590 169908 212385 283180 424770 523883 849540 1047766 1571649 2095532 2619415 3143298 5238830 6286596 7858245 10477660 15716490 31432980