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31002420 = 22354871061
BaseRepresentation
bin111011001000…
…0111100110100
32011100002022210
41312100330310
530414034140
63024253420
7524342031
oct166207464
964302283
1031002420
1116555639
12a471270
136566337
144190388
152ac5d80
hex1d90f34

31002420 has 48 divisors (see below), whose sum is σ = 87067008. Its totient is φ = 8242560.

The previous prime is 31002401. The next prime is 31002427. The reversal of 31002420 is 2420013.

It is a super-2 number, since 2×310024202 = 1922300091712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31002396 and 31002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002427) by changing a digit.

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, 28690 + ... + 29750.

It is an arithmetic number, because the mean of its divisors is an integer number (1813896).

Almost surely, 231002420 is an apocalyptic number.

31002420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002420 is an abundant number, since it is smaller than the sum of its proper divisors (56064588).

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

31002420 is a wasteful number, since it uses less digits than its factorization.

31002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31002420 is about 5567.9816810043. The cubic root of 31002420 is about 314.1462393718.

Adding to 31002420 its reverse (2420013), we get a palindrome (33422433).

The spelling of 31002420 in words is "thirty-one million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 487 974 1061 1461 1948 2122 2435 2922 3183 4244 4870 5305 5844 6366 7305 9740 10610 12732 14610 15915 21220 29220 31830 63660 516707 1033414 1550121 2066828 2583535 3100242 5167070 6200484 7750605 10334140 15501210 31002420