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37442130 = 23511831367
BaseRepresentation
bin1000111011010…
…1001001010010
32121110020221120
42032311021102
534041122010
63414303110
7633152505
oct216651122
977406846
1037442130
111a153910
1210657a96
1379ac50b
144d8913c
153448e70
hex23b5252

37442130 has 64 divisors (see below), whose sum is σ = 99283968. Its totient is φ = 8960960.

The previous prime is 37442123. The next prime is 37442131. The reversal of 37442130 is 3124473.

It is a self number, because there is not a number n which added to its sum of digits gives 37442130.

It is not an unprimeable number, because it can be changed into a prime (37442131) 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, 26707 + ... + 28073.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 237442130 is an apocalyptic number.

37442130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641984).

37442130 is an abundant number, since it is smaller than the sum of its proper divisors (61841838).

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

37442130 is a wasteful number, since it uses less digits than its factorization.

37442130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 37442130 is about 6118.9974669058. The cubic root of 37442130 is about 334.5442082419.

The spelling of 37442130 in words is "thirty-seven million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1367 1826 2490 2734 2739 4101 4565 5478 6835 8202 9130 13670 13695 15037 20505 27390 30074 41010 45111 75185 90222 113461 150370 225555 226922 340383 451110 567305 680766 1134610 1248071 1701915 2496142 3403830 3744213 6240355 7488426 12480710 18721065 37442130