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1300132240 = 2451110311433
BaseRepresentation
bin100110101111110…
…0111000110010000
310100121102120010221
41031133213012100
510130313212430
6333002202424
744134641001
oct11537470620
93317376127
101300132240
11607988660
123034b3414
13179483224
14c49571a8
157921957a
hex4d7e7190

1300132240 has 80 divisors (see below), whose sum is σ = 3303110016. Its totient is φ = 471987200.

The previous prime is 1300132217. The next prime is 1300132261. The reversal of 1300132240 is 422310031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 906564 + ... + 907996.

Almost surely, 21300132240 is an apocalyptic number.

1300132240 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 1300132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651555008).

1300132240 is an abundant number, since it is smaller than the sum of its proper divisors (2002977776).

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

1300132240 is a wasteful number, since it uses less digits than its factorization.

1300132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300132240 is about 36057.3465468551. The cubic root of 1300132240 is about 1091.4298884204.

Adding to 1300132240 its reverse (422310031), we get a palindrome (1722442271).

The spelling of 1300132240 in words is "one billion, three hundred million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1031 1433 2062 2866 4124 5155 5732 7165 8248 10310 11341 11464 14330 15763 16496 20620 22682 22928 28660 31526 41240 45364 56705 57320 63052 78815 82480 90728 113410 114640 126104 157630 181456 226820 252208 315260 453640 630520 907280 1261040 1477423 2954846 5909692 7387115 11819384 14774230 16251653 23638768 29548460 32503306 59096920 65006612 81258265 118193840 130013224 162516530 260026448 325033060 650066120 1300132240