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20077440 = 273510457
BaseRepresentation
bin100110010010…
…1101110000000
31101210001001220
41030211232000
520114434230
61554155040
7332440545
oct114455600
941701056
1020077440
1110373529
126882a80
13420c756
142948bcc
151b68d10
hex1325b80

20077440 has 64 divisors (see below), whose sum is σ = 64002960. Its totient is φ = 5353472.

The previous prime is 20077439. The next prime is 20077489. The reversal of 20077440 is 4477002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20077440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3309 + ... + 7148.

Almost surely, 220077440 is an apocalyptic number.

20077440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20077440 is an abundant number, since it is smaller than the sum of its proper divisors (43925520).

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

20077440 is a wasteful number, since it uses less digits than its factorization.

20077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 20077440 is about 4480.7856453975. The cubic root of 20077440 is about 271.7916512901.

The spelling of 20077440 in words is "twenty million, seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 10457 20914 31371 41828 52285 62742 83656 104570 125484 156855 167312 209140 250968 313710 334624 418280 501936 627420 669248 836560 1003872 1254840 1338496 1673120 2007744 2509680 3346240 4015488 5019360 6692480 10038720 20077440