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1920270672 = 243314393089
BaseRepresentation
bin111001001110101…
…0000000101010000
311221211022212011000
41302131100011100
512413042130142
6514314022000
765405013525
oct16235200520
94854285130
101920270672
118a5a40861
12457117900
13247ab0248
1414306314c
15b38b414c
hex72750150

1920270672 has 80 divisors (see below), whose sum is σ = 5517504000. Its totient is φ = 639438336.

The previous prime is 1920270661. The next prime is 1920270679. The reversal of 1920270672 is 2760720291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920270679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620104 + ... + 623192.

It is an arithmetic number, because the mean of its divisors is an integer number (68968800).

Almost surely, 21920270672 is an apocalyptic number.

1920270672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1920270672 is an abundant number, since it is smaller than the sum of its proper divisors (3597233328).

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

1920270672 is a wasteful number, since it uses less digits than its factorization.

1920270672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1920270672 is about 43820.8930990686. The cubic root of 1920270672 is about 1242.9514052509.

The spelling of 1920270672 in words is "one billion, nine hundred twenty million, two hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1439 2878 3089 4317 5756 6178 8634 9267 11512 12356 12951 17268 18534 23024 24712 25902 27801 34536 37068 38853 49424 51804 55602 69072 74136 77706 83403 103608 111204 148272 155412 166806 207216 222408 310824 333612 444816 621648 667224 1334448 4445071 8890142 13335213 17780284 26670426 35560568 40005639 53340852 71121136 80011278 106681704 120016917 160022556 213363408 240033834 320045112 480067668 640090224 960135336 1920270672