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133803040 = 2557193619
BaseRepresentation
bin1111111100110…
…10110000100000
3100022202220021011
413332122300200
5233223144130
621135510304
73213210220
oct776326040
9308686234
10133803040
116958a228
1238988394
132194a7c7
1413ab0080
15bb3052a
hex7f9ac20

133803040 has 96 divisors (see below), whose sum is σ = 363726720. Its totient is φ = 45563904.

The previous prime is 133803017. The next prime is 133803079. The reversal of 133803040 is 40308331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215851 + ... + 216469.

It is an arithmetic number, because the mean of its divisors is an integer number (3788820).

Almost surely, 2133803040 is an apocalyptic number.

133803040 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 133803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181863360).

133803040 is an abundant number, since it is smaller than the sum of its proper divisors (229923680).

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

133803040 is a wasteful number, since it uses less digits than its factorization.

133803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 133803040 is about 11567.3263980922. The cubic root of 133803040 is about 511.4721529425.

The spelling of 133803040 in words is "one hundred thirty-three million, eight hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 193 224 280 386 560 619 772 965 1120 1238 1351 1544 1930 2476 2702 3088 3095 3860 4333 4952 5404 6176 6190 6755 7720 8666 9904 10808 12380 13510 15440 17332 19808 21616 21665 24760 27020 30880 34664 43232 43330 49520 54040 69328 86660 99040 108080 119467 138656 173320 216160 238934 346640 477868 597335 693280 836269 955736 1194670 1672538 1911472 2389340 3345076 3822944 4181345 4778680 6690152 8362690 9557360 13380304 16725380 19114720 26760608 33450760 66901520 133803040