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1325662480 = 24543735279
BaseRepresentation
bin100111100000100…
…0000000100010000
310102101110122001101
41033001000010100
510203332144410
6335313314144
744564642122
oct11701000420
93371418041
101325662480
1162033592a
1230bb65954
1318185188c
14c80c1212
157b5add3a
hex4f040110

1325662480 has 80 divisors (see below), whose sum is σ = 3197652480. Its totient is φ = 510741504.

The previous prime is 1325662463. The next prime is 1325662487. The reversal of 1325662480 is 842665231.

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

It is not an unprimeable number, because it can be changed into a prime (1325662487) 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, 248481 + ... + 253759.

It is an arithmetic number, because the mean of its divisors is an integer number (39970656).

Almost surely, 21325662480 is an apocalyptic number.

1325662480 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 1325662480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598826240).

1325662480 is an abundant number, since it is smaller than the sum of its proper divisors (1871990000).

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

1325662480 is a wasteful number, since it uses less digits than its factorization.

1325662480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1325662480 is about 36409.6481718788. The cubic root of 1325662480 is about 1098.5276389246.

The spelling of 1325662480 in words is "one billion, three hundred twenty-five million, six hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 73 80 86 146 172 215 292 344 365 430 584 688 730 860 1168 1460 1720 2920 3139 3440 5279 5840 6278 10558 12556 15695 21116 25112 26395 31390 42232 50224 52790 62780 84464 105580 125560 211160 226997 251120 385367 422320 453994 770734 907988 1134985 1541468 1815976 1926835 2269970 3082936 3631952 3853670 4539940 6165872 7707340 9079880 15414680 16570781 18159760 30829360 33141562 66283124 82853905 132566248 165707810 265132496 331415620 662831240 1325662480