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2627070340 = 2251923329671
BaseRepresentation
bin1001110010010101…
…1110100110000100
320210002022000000111
42130211132212010
520340012222330
61112403122404
7122046505126
oct23445364604
96702260014
102627070340
111128a04914
12613973404
1332b3605bb
141acc8b216
1510597b32a
hex9c95e984

2627070340 has 48 divisors (see below), whose sum is σ = 5832328320. Its totient is φ = 991215360.

The previous prime is 2627070331. The next prime is 2627070343. The reversal of 2627070340 is 430707262.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2627070343) 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, 73705 + ... + 103375.

It is an arithmetic number, because the mean of its divisors is an integer number (121506840).

Almost surely, 22627070340 is an apocalyptic number.

2627070340 is a gapful number since it is divisible by the number (20) 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 2627070340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916164160).

2627070340 is an abundant number, since it is smaller than the sum of its proper divisors (3205257980).

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

2627070340 is a wasteful number, since it uses less digits than its factorization.

2627070340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29932 (or 29930 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 2627070340 is about 51254.9542971214. The cubic root of 2627070340 is about 1379.8246539095.

The spelling of 2627070340 in words is "two billion, six hundred twenty-seven million, seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 233 380 466 932 1165 2330 4427 4660 8854 17708 22135 29671 44270 59342 88540 118684 148355 296710 563749 593420 1127498 2254996 2818745 5637490 6913343 11274980 13826686 27653372 34566715 69133430 131353517 138266860 262707034 525414068 656767585 1313535170 2627070340