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1354235540 = 225727119463
BaseRepresentation
bin101000010110111…
…1111111010010100
310111101020021220212
41100231333322110
510233141014130
6342213544552
745362545400
oct12055777224
93441207825
101354235540
11635481229
12319645158
13187747208
14cbbdc100
157dd54e95
hex50b7fe94

1354235540 has 72 divisors (see below), whose sum is σ = 3354970752. Its totient is φ = 457746240.

The previous prime is 1354235539. The next prime is 1354235551. The reversal of 1354235540 is 455324531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1354235497 and 1354235506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59849 + ... + 79311.

It is an arithmetic number, because the mean of its divisors is an integer number (46596816).

Almost surely, 21354235540 is an apocalyptic number.

1354235540 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 1354235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677485376).

1354235540 is an abundant number, since it is smaller than the sum of its proper divisors (2000735212).

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

1354235540 is a wasteful number, since it uses less digits than its factorization.

1354235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19557 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 1354235540 is about 36799.9394021240. The cubic root of 1354235540 is about 1106.3640845881.

The spelling of 1354235540 in words is "one billion, three hundred fifty-four million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4970 6958 9940 13916 17395 19463 34790 38926 69580 77852 97315 136241 194630 272482 389260 544964 681205 953687 1362410 1381873 1907374 2724820 2763746 3814748 4768435 5527492 6909365 9536870 9673111 13818730 19073740 19346222 27637460 38692444 48365555 67711777 96731110 135423554 193462220 270847108 338558885 677117770 1354235540