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1332397640 = 235789127421
BaseRepresentation
bin100111101101010…
…1100011001001000
310102212010210221202
41033122230121020
510212043211030
6340113523332
745006123140
oct11732543110
93385123852
101332397640
11624116082
12312273548
1318306c392
14c8d55920
157be8e745
hex4f6ac648

1332397640 has 128 divisors (see below), whose sum is σ = 3500236800. Its totient is φ = 447068160.

The previous prime is 1332397637. The next prime is 1332397669. The reversal of 1332397640 is 467932331.

It is a junction number, because it is equal to n+sod(n) for n = 1332397594 and 1332397603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3164630 + ... + 3165050.

It is an arithmetic number, because the mean of its divisors is an integer number (27345600).

Almost surely, 21332397640 is an apocalyptic number.

1332397640 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 1332397640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750118400).

1332397640 is an abundant number, since it is smaller than the sum of its proper divisors (2167839160).

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

1332397640 is a wasteful number, since it uses less digits than its factorization.

1332397640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 1332397640 is about 36502.0224097241. The cubic root of 1332397640 is about 1100.3848901046.

The spelling of 1332397640 in words is "one billion, three hundred thirty-two million, three hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 127 140 178 254 280 356 421 445 508 623 635 712 842 889 890 1016 1246 1270 1684 1778 1780 2105 2492 2540 2947 3115 3368 3556 3560 4210 4445 4984 5080 5894 6230 7112 8420 8890 11303 11788 12460 14735 16840 17780 22606 23576 24920 29470 35560 37469 45212 53467 56515 58940 74938 79121 90424 106934 113030 117880 149876 158242 187345 213868 226060 262283 267335 299752 316484 374269 374690 395605 427736 452120 524566 534670 632968 748538 749380 791210 1049132 1069340 1311415 1497076 1498760 1582420 1871345 2098264 2138680 2622830 2994152 3164840 3742690 4758563 5245660 7485380 9517126 10491320 14970760 19034252 23792815 33309941 38068504 47585630 66619882 95171260 133239764 166549705 190342520 266479528 333099410 666198820 1332397640