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1937913340 = 2251116375381
BaseRepresentation
bin111001110000010…
…0011010111111100
312000001112012100011
41303200203113330
512432101211330
6520144113004
766010664056
oct16340432774
95001465304
101937913340
119049a0a80
12461005764
1324b6496ac
141455368d6
15b51eb82a
hex738235fc

1937913340 has 48 divisors (see below), whose sum is σ = 4443120864. Its totient is φ = 704134400.

The previous prime is 1937913281. The next prime is 1937913343. The reversal of 1937913340 is 433197391.

It is a super-3 number, since 3×19379133403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1937913293 and 1937913302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1937913343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357450 + ... + 362830.

It is an arithmetic number, because the mean of its divisors is an integer number (92565018).

Almost surely, 21937913340 is an apocalyptic number.

1937913340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1937913340 is an abundant number, since it is smaller than the sum of its proper divisors (2505207524).

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

1937913340 is a wasteful number, since it uses less digits than its factorization.

1937913340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 1937913340 is about 44021.7371306494. The cubic root of 1937913340 is about 1246.7463844029.

The spelling of 1937913340 in words is "one billion, nine hundred thirty-seven million, nine hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1637 3274 5381 6548 8185 10762 16370 18007 21524 26905 32740 36014 53810 59191 72028 90035 107620 118382 180070 236764 295955 360140 591910 1183820 8808697 17617394 35234788 44043485 88086970 96895667 176173940 193791334 387582668 484478335 968956670 1937913340