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1375009540 = 225376183367
BaseRepresentation
bin101000111110100…
…1111101100000100
310112211022201111021
41101331033230010
510304000301130
6344235120524
746034250112
oct12175175404
93484281437
101375009540
11646180023
123245a3144
1318bb3ba18
14d0888ab2
1580aaa37a
hex51f4fb04

1375009540 has 96 divisors (see below), whose sum is σ = 3058804224. Its totient is φ = 518607360.

The previous prime is 1375009513. The next prime is 1375009541. The reversal of 1375009540 is 459005731.

It is a junction number, because it is equal to n+sod(n) for n = 1375009496 and 1375009505.

It is not an unprimeable number, because it can be changed into a prime (1375009541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3746437 + ... + 3746803.

It is an arithmetic number, because the mean of its divisors is an integer number (31862544).

Almost surely, 21375009540 is an apocalyptic number.

1375009540 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 1375009540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529402112).

1375009540 is an abundant number, since it is smaller than the sum of its proper divisors (1683794684).

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

1375009540 is a wasteful number, since it uses less digits than its factorization.

1375009540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 1375009540 is about 37081.1210725889. The cubic root of 1375009540 is about 1111.9926170084.

The spelling of 1375009540 in words is "one billion, three hundred seventy-five million, nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 83 122 148 166 185 244 305 332 367 370 415 610 734 740 830 1220 1468 1660 1835 2257 3071 3670 4514 5063 6142 7340 9028 10126 11285 12284 13579 15355 20252 22387 22570 25315 27158 30461 30710 44774 45140 50630 54316 60922 61420 67895 89548 101260 111935 121844 135790 152305 187331 223870 271580 304610 374662 447740 609220 749324 828319 936655 1127057 1656638 1858121 1873310 2254114 3313276 3716242 3746620 4141595 4508228 5635285 7432484 8283190 9290605 11270570 16566380 18581210 22541140 37162420 68750477 137500954 275001908 343752385 687504770 1375009540