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1920017124 = 22326721092
BaseRepresentation
bin111001001110001…
…0010001011100100
311221210211222100100
41302130102023210
512413011021444
6514304344100
765402606364
oct16234221344
94853758310
101920017124
118a5888313
12457015030
13247a21a0c
14142dd89a4
15b3863e69
hex727122e4

1920017124 has 81 divisors (see below), whose sum is σ = 4972511817. Its totient is φ = 624669408.

The previous prime is 1920017119. The next prime is 1920017137. The reversal of 1920017124 is 4217100291.

The square root of 1920017124 is 43818.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1338242724 + 581774400 = 36582^2 + 24120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17614782 + ... + 17614890.

Almost surely, 21920017124 is an apocalyptic number.

1920017124 is the 43818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920017124

1920017124 is an abundant number, since it is smaller than the sum of its proper divisors (3052494693).

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

1920017124 is a wasteful number, since it uses less digits than its factorization.

1920017124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The cubic root of 1920017124 is about 1242.8966973879.

The spelling of 1920017124 in words is "one billion, nine hundred twenty million, seventeen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 109 134 201 218 268 327 402 436 603 654 804 981 1206 1308 1962 2412 3924 4489 7303 8978 11881 13467 14606 17956 21909 23762 26934 29212 35643 40401 43818 47524 53868 65727 71286 80802 87636 106929 131454 142572 161604 213858 262908 427716 489301 796027 978602 1467903 1592054 1957204 2388081 2935806 3184108 4403709 4776162 5871612 7164243 8807418 9552324 14328486 17614836 28656972 53333809 106667618 160001427 213335236 320002854 480004281 640005708 960008562 1920017124