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1274407680 = 28357213521
BaseRepresentation
bin100101111110101…
…1110101100000000
310021211000121200110
41023331132230000
510102222021210
6330242551320
743403200200
oct11375365400
93254017613
101274407680
115a4408397
122b6968540
131740472b0
14c137c400
1576d37420
hex4bf5eb00

1274407680 has 432 divisors, whose sum is σ = 5108642784. Its totient is φ = 268369920.

The previous prime is 1274407663. The next prime is 1274407681. The reversal of 1274407680 is 867044721.

It is a super-2 number, since 2×12744076802 = 3248229869685964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1274407681) 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, 2445820 + ... + 2446340.

It is an arithmetic number, because the mean of its divisors is an integer number (11825562).

Almost surely, 21274407680 is an apocalyptic number.

1274407680 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 1274407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554321392).

1274407680 is an abundant number, since it is smaller than the sum of its proper divisors (3834235104).

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

1274407680 is a wasteful number, since it uses less digits than its factorization.

1274407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 1274407680 is about 35698.8470402057. The cubic root of 1274407680 is about 1084.1834994793.

The spelling of 1274407680 in words is "one billion, two hundred seventy-four million, four hundred seven thousand, six hundred eighty".