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36938940 = 2235761809
BaseRepresentation
bin1000110011101…
…0010010111100
32120111200200220
42030322102330
533424021230
63355421340
7625655463
oct214722274
976450626
1036938940
111993a855
1210454850
13786447c
144c979da
153399d10
hex233a4bc

36938940 has 48 divisors (see below), whose sum is σ = 103692960. Its totient is φ = 9825280.

The previous prime is 36938929. The next prime is 36938947. The reversal of 36938940 is 4983963.

36938940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36938892 and 36938901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36938947) 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, 45256 + ... + 46064.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 236938940 is an apocalyptic number.

36938940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36938940 is an abundant number, since it is smaller than the sum of its proper divisors (66754020).

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

36938940 is a wasteful number, since it uses less digits than its factorization.

36938940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 36938940 is about 6077.7413567871. The cubic root of 36938940 is about 333.0387820175.

The spelling of 36938940 in words is "thirty-six million, nine hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 761 809 1522 1618 2283 2427 3044 3236 3805 4045 4566 4854 7610 8090 9132 9708 11415 12135 15220 16180 22830 24270 45660 48540 615649 1231298 1846947 2462596 3078245 3693894 6156490 7387788 9234735 12312980 18469470 36938940