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133509740 = 225713109673
BaseRepresentation
bin1111111010100…
…11001001101100
3100022012222221012
413331103021230
5233134302430
621125324352
73210546140
oct775231154
9308188835
10133509740
11693a9931
12388666b8
1321877160
1413a35220
15bac3695
hex7f5326c

133509740 has 96 divisors (see below), whose sum is σ = 348754560. Its totient is φ = 41803776.

The previous prime is 133509737. The next prime is 133509767. The reversal of 133509740 is 47905331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133509697 and 133509706.

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, 198044 + ... + 198716.

It is an arithmetic number, because the mean of its divisors is an integer number (3632860).

Almost surely, 2133509740 is an apocalyptic number.

133509740 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 133509740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174377280).

133509740 is an abundant number, since it is smaller than the sum of its proper divisors (215244820).

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

133509740 is a wasteful number, since it uses less digits than its factorization.

133509740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 133509740 is about 11554.6414916258. The cubic root of 133509740 is about 511.0981591271.

The spelling of 133509740 in words is "one hundred thirty-three million, five hundred nine thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 109 130 140 182 218 260 364 436 455 545 673 763 910 1090 1346 1417 1526 1820 2180 2692 2834 3052 3365 3815 4711 5668 6730 7085 7630 8749 9422 9919 13460 14170 15260 17498 18844 19838 23555 28340 34996 39676 43745 47110 49595 61243 73357 87490 94220 99190 122486 146714 174980 198380 244972 293428 306215 366785 513499 612430 733570 953641 1026998 1224860 1467140 1907282 2053996 2567495 3814564 4768205 5134990 6675487 9536410 10269980 13350974 19072820 26701948 33377435 66754870 133509740