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1270672704 = 26337243349
BaseRepresentation
bin100101110111100…
…1110110101000000
310021112222212021000
41023233032311000
510100243011304
6330030532000
743326353100
oct11357166500
93245885230
101270672704
115a2297234
122b5667000
1317333a252
14c0a89200
157684a939
hex4bbced40

1270672704 has 336 divisors, whose sum is σ = 4459224000. Its totient is φ = 353590272.

The previous prime is 1270672703. The next prime is 1270672757. The reversal of 1270672704 is 4072760721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12706727042 = 3229218241381343232, which contains 22 as substring.

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 (1270672703) 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, 3640722 + ... + 3641070.

It is an arithmetic number, because the mean of its divisors is an integer number (13271500).

Almost surely, 21270672704 is an apocalyptic number.

1270672704 is a gapful number since it is divisible by the number (14) 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 1270672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229612000).

1270672704 is an abundant number, since it is smaller than the sum of its proper divisors (3188551296).

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

1270672704 is a wasteful number, since it uses less digits than its factorization.

1270672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1270672704 is about 35646.4963776245. The cubic root of 1270672704 is about 1083.1233045356.

The spelling of 1270672704 in words is "one billion, two hundred seventy million, six hundred seventy-two thousand, seven hundred four".