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1300664120 = 235717925951
BaseRepresentation
bin100110110000110…
…1000111100111000
310100122102120202012
41031201220330320
510130432222440
6333021425052
744142314450
oct11541507470
93318376665
101300664120
11608211228
1230370b188
1317960b352
14c4a54d60
15792c1e65
hex4d868f38

1300664120 has 64 divisors (see below), whose sum is σ = 3363379200. Its totient is φ = 443433600.

The previous prime is 1300664119. The next prime is 1300664159. The reversal of 1300664120 is 214660031.

It is a happy number.

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, 37145 + ... + 63095.

It is an arithmetic number, because the mean of its divisors is an integer number (52552800).

Almost surely, 21300664120 is an apocalyptic number.

1300664120 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 1300664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681689600).

1300664120 is an abundant number, since it is smaller than the sum of its proper divisors (2062715080).

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

1300664120 is a wasteful number, since it uses less digits than its factorization.

1300664120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148 (or 26144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1300664120 is about 36064.7212660794. The cubic root of 1300664120 is about 1091.5787016379.

The spelling of 1300664120 in words is "one billion, three hundred million, six hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2506 3580 5012 6265 7160 10024 12530 25060 25951 50120 51902 103804 129755 181657 207608 259510 363314 519020 726628 908285 1038040 1453256 1816570 3633140 4645229 7266280 9290458 18580916 23226145 32516603 37161832 46452290 65033206 92904580 130066412 162583015 185809160 260132824 325166030 650332060 1300664120