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1375235940 = 2235134143003
BaseRepresentation
bin101000111111000…
…0110111101100100
310112211202020001110
41101332012331210
510304030022230
6344244025020
746036212141
oct12176067544
93484666043
101375235940
11646315131
12324692170
1318bbbaaa0
14d09073c8
1580b024b0
hex51f86f64

1375235940 has 96 divisors (see below), whose sum is σ = 4248107136. Its totient is φ = 330255360.

The previous prime is 1375235929. The next prime is 1375235951. The reversal of 1375235940 is 495325731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1375235929) and next prime (1375235951).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10479 + ... + 53481.

It is an arithmetic number, because the mean of its divisors is an integer number (44251116).

Almost surely, 21375235940 is an apocalyptic number.

1375235940 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 1375235940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124053568).

1375235940 is an abundant number, since it is smaller than the sum of its proper divisors (2872871196).

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

1375235940 is a wasteful number, since it uses less digits than its factorization.

1375235940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43069 (or 43067 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 1375235940 is about 37084.1737133241. The cubic root of 1375235940 is about 1112.0536447819.

The spelling of 1375235940 in words is "one billion, three hundred seventy-five million, two hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 15990 31980 43003 86006 129009 172012 215015 258018 430030 516036 559039 645045 860060 1118078 1290090 1677117 1763123 2236156 2580180 2795195 3354234 3526246 5289369 5590390 6708468 7052492 8385585 8815615 10578738 11180780 16771170 17631230 21157476 22920599 26446845 33542340 35262460 45841198 52893690 68761797 91682396 105787380 114602995 137523594 229205990 275047188 343808985 458411980 687617970 1375235940