Search a number
-
+
31042500 = 223544139
BaseRepresentation
bin111011001101…
…0101111000100
32011102010022020
41312122233010
530421330000
63025203140
7524566626
oct166325704
964363266
1031042500
1116582765
12a4904b0
13657b658
1441a0c16
152ad2ba0
hex1d9abc4

31042500 has 60 divisors (see below), whose sum is σ = 90533520. Its totient is φ = 8276000.

The previous prime is 31042489. The next prime is 31042537. The reversal of 31042500 is 524013.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31042500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5431 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (1508892).

Almost surely, 231042500 is an apocalyptic number.

31042500 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 31042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45266760).

31042500 is an abundant number, since it is smaller than the sum of its proper divisors (59491020).

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

31042500 is a wasteful number, since it uses less digits than its factorization.

31042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 31042500 is about 5571.5796682808. The cubic root of 31042500 is about 314.2815574027.

Adding to 31042500 its reverse (524013), we get a palindrome (31566513).

The spelling of 31042500 in words is "thirty-one million, forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 4139 7500 8278 12417 16556 20695 24834 41390 49668 62085 82780 103475 124170 206950 248340 310425 413900 517375 620850 1034750 1241700 1552125 2069500 2586875 3104250 5173750 6208500 7760625 10347500 15521250 31042500