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1412761680 = 2432511296151
BaseRepresentation
bin101010000110101…
…0000100001010000
310122110100201200200
41110031100201100
510343131333210
6352104215200
750003163501
oct12415204120
93573321620
101412761680
11665515840
1233516a500
131968c9375
14d58b4ba8
15840660c0
hex54350850

1412761680 has 240 divisors, whose sum is σ = 5355192960. Its totient is φ = 330624000.

The previous prime is 1412761643. The next prime is 1412761681. The reversal of 1412761680 is 861672141.

It is a happy number.

1412761680 is a `hidden beast` number, since 14 + 1 + 27 + 616 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1412761681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226605 + ... + 232755.

It is an arithmetic number, because the mean of its divisors is an integer number (22313304).

Almost surely, 21412761680 is an apocalyptic number.

1412761680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677596480).

1412761680 is an abundant number, since it is smaller than the sum of its proper divisors (3942431280).

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

1412761680 is a wasteful number, since it uses less digits than its factorization.

1412761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1412761680 is about 37586.7221236436. The cubic root of 1412761680 is about 1122.0777968495.

The spelling of 1412761680 in words is "one billion, four hundred twelve million, seven hundred sixty-one thousand, six hundred eighty".