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1917138990 = 2351319724953
BaseRepresentation
bin111001001000101…
…0011100000101110
311221121102202021210
41302101103200232
512411241421430
6514122535250
765336261334
oct16221234056
94847382253
101917138990
118a41a1998
12456067526
13247254990
14142889b54
15b34962b0
hex7245382e

1917138990 has 64 divisors (see below), whose sum is σ = 4980419136. Its totient is φ = 469496832.

The previous prime is 1917138973. The next prime is 1917138997. The reversal of 1917138990 is 998317191.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1917138997) 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, 64354 + ... + 89306.

It is an arithmetic number, because the mean of its divisors is an integer number (77819049).

Almost surely, 21917138990 is an apocalyptic number.

1917138990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1917138990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490209568).

1917138990 is an abundant number, since it is smaller than the sum of its proper divisors (3063280146).

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

1917138990 is a wasteful number, since it uses less digits than its factorization.

1917138990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25173.

The product of its (nonzero) digits is 122472, while the sum is 48.

The square root of 1917138990 is about 43785.1457688564. The cubic root of 1917138990 is about 1242.2753466500.

The spelling of 1917138990 in words is "one billion, nine hundred seventeen million, one hundred thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 197 390 394 591 985 1182 1970 2561 2955 5122 5910 7683 12805 15366 24953 25610 38415 49906 74859 76830 124765 149718 249530 324389 374295 648778 748590 973167 1621945 1946334 3243890 4865835 4915741 9731670 9831482 14747223 24578705 29494446 49157410 63904633 73736115 127809266 147472230 191713899 319523165 383427798 639046330 958569495 1917138990