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1327425008 = 247131753629
BaseRepresentation
bin100111100011110…
…1110010111110000
310102111210011210012
41033013232113300
510204310100013
6335415154052
744615632520
oct11707562760
93374704705
101327425008
1162132a068
12310675928
1318201abb0
14c841d680
157b80b1a8
hex4f1ee5f0

1327425008 has 80 divisors (see below), whose sum is σ = 3351660480. Its totient is φ = 494235648.

The previous prime is 1327424993. The next prime is 1327425023. The reversal of 1327425008 is 8005247231.

It is an interprime number because it is at equal distance from previous prime (1327424993) and next prime (1327425023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2063 + ... + 51566.

It is an arithmetic number, because the mean of its divisors is an integer number (41895756).

Almost surely, 21327425008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327425008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675830240).

1327425008 is an abundant number, since it is smaller than the sum of its proper divisors (2024235472).

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

1327425008 is a wasteful number, since it uses less digits than its factorization.

1327425008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53674 (or 53668 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1327425008 is about 36433.8442660118. The cubic root of 1327425008 is about 1099.0142706535.

The spelling of 1327425008 in words is "one billion, three hundred twenty-seven million, four hundred twenty-five thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1904 3094 3536 6188 12376 24752 53629 107258 214516 375403 429032 697177 750806 858064 911693 1394354 1501612 1823386 2788708 3003224 3646772 4880239 5577416 6006448 6381851 7293544 9760478 11154832 11852009 12763702 14587088 19520956 23704018 25527404 39041912 47408036 51054808 78083824 82964063 94816072 102109616 165928126 189632144 331856252 663712504 1327425008