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37042020 = 223251910831
BaseRepresentation
bin1000110101001…
…1011101100100
32120200221002200
42031103131210
533440321040
63401534500
7626565141
oct215233544
976627080
1037042020
1119a00244
12104a4430
13789c372
144cc33c8
1533ba630
hex2353764

37042020 has 72 divisors (see below), whose sum is σ = 118285440. Its totient is φ = 9357120.

The previous prime is 37042013. The next prime is 37042037. The reversal of 37042020 is 2024073.

It is a happy number.

37042020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×370420202 = 2744222491360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 37041984 and 37042002.

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 23 ways as a sum of consecutive naturals, for example, 1996 + ... + 8835.

Almost surely, 237042020 is an apocalyptic number.

37042020 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 37042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59142720).

37042020 is an abundant number, since it is smaller than the sum of its proper divisors (81243420).

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

37042020 is a wasteful number, since it uses less digits than its factorization.

37042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 37042020 is about 6086.2155729156. The cubic root of 37042020 is about 333.3482815519.

Adding to 37042020 its reverse (2024073), we get a palindrome (39066093).

The spelling of 37042020 in words is "thirty-seven million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 10831 21662 32493 43324 54155 64986 97479 108310 129972 162465 194958 205789 216620 324930 389916 411578 487395 617367 649860 823156 974790 1028945 1234734 1852101 1949580 2057890 2469468 3086835 3704202 4115780 6173670 7408404 9260505 12347340 18521010 37042020