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1354152660 = 223575954647
BaseRepresentation
bin101000010110110…
…1011101011010100
310111101002002020020
41100231223223110
510233130341120
6342212105140
745362051640
oct12055535324
93441062206
101354152660
11635424a33
123196051b0
13187718583
14cbbb9c20
157dd3a640
hex50b6bad4

1354152660 has 96 divisors (see below), whose sum is σ = 4406814720. Its totient is φ = 304268928.

The previous prime is 1354152607. The next prime is 1354152691. The reversal of 1354152660 is 662514531.

It is a congruent number.

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, 2544 + ... + 52103.

It is an arithmetic number, because the mean of its divisors is an integer number (45904320).

Almost surely, 21354152660 is an apocalyptic number.

1354152660 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 1354152660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203407360).

1354152660 is an abundant number, since it is smaller than the sum of its proper divisors (3052662060).

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

1354152660 is a wasteful number, since it uses less digits than its factorization.

1354152660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54725 (or 54723 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1354152660 is about 36798.8132960833. The cubic root of 1354152660 is about 1106.3415140866.

It can be divided in two parts, 135415 and 2660, that added together give a triangular number (138075 = T525).

The spelling of 1354152660 in words is "one billion, three hundred fifty-four million, one hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4130 4956 6195 8260 12390 24780 54647 109294 163941 218588 273235 327882 382529 546470 655764 765058 819705 1092940 1147587 1530116 1639410 1912645 2295174 3224173 3278820 3825290 4590348 5737935 6448346 7650580 9672519 11475870 12896692 16120865 19345038 22569211 22951740 32241730 38690076 45138422 48362595 64483460 67707633 90276844 96725190 112846055 135415266 193450380 225692110 270830532 338538165 451384220 677076330 1354152660