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133012040 = 2357372347
BaseRepresentation
bin1111110110110…
…01101001001000
3100021021201012212
413323121221020
5233022341130
621110524252
73203404130
oct773315110
9307251185
10133012040
1169099a07
1238666688
1321731765
1413945ac0
15ba25e95
hex7ed9a48

133012040 has 96 divisors (see below), whose sum is σ = 352537920. Its totient is φ = 44243712.

The previous prime is 133012031. The next prime is 133012043. The reversal of 133012040 is 40210331.

133012040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (133012043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383147 + ... + 383493.

It is an arithmetic number, because the mean of its divisors is an integer number (3672270).

Almost surely, 2133012040 is an apocalyptic number.

133012040 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 133012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176268960).

133012040 is an abundant number, since it is smaller than the sum of its proper divisors (219525880).

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

133012040 is a wasteful number, since it uses less digits than its factorization.

133012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133012040 is about 11533.0845830593. The cubic root of 133012040 is about 510.4622746936.

Adding to 133012040 its reverse (40210331), we get a palindrome (173222371).

The spelling of 133012040 in words is "one hundred thirty-three million, twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 347 370 518 694 740 1036 1295 1369 1388 1480 1735 2072 2429 2590 2738 2776 3470 4858 5180 5476 6845 6940 9583 9716 10360 10952 12145 12839 13690 13880 19166 19432 24290 25678 27380 38332 47915 48580 51356 54760 64195 76664 89873 95830 97160 102712 128390 179746 191660 256780 359492 383320 449365 475043 513560 718984 898730 950086 1797460 1900172 2375215 3325301 3594920 3800344 4750430 6650602 9500860 13301204 16626505 19001720 26602408 33253010 66506020 133012040