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133003040 = 2551967653
BaseRepresentation
bin1111110110101…
…11011100100000
3100021021020212112
413323113130200
5233022044130
621110414452
73203335652
oct773273440
9307236775
10133003040
1169093175
1238661428
132172a631
14139426d2
15ba23495
hex7ed7720

133003040 has 96 divisors (see below), whose sum is σ = 336208320. Its totient is φ = 49572864.

The previous prime is 133003027. The next prime is 133003061. The reversal of 133003040 is 40300331.

It is a happy number.

133003040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 203354 + ... + 204006.

It is an arithmetic number, because the mean of its divisors is an integer number (3502170).

Almost surely, 2133003040 is an apocalyptic number.

133003040 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 133003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168104160).

133003040 is an abundant number, since it is smaller than the sum of its proper divisors (203205280).

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

133003040 is a wasteful number, since it uses less digits than its factorization.

133003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 133003040 is about 11532.6943946330. The cubic root of 133003040 is about 510.4507612895.

Adding to 133003040 its reverse (40300331), we get a palindrome (173303371).

The spelling of 133003040 in words is "one hundred thirty-three million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 67 76 80 95 134 152 160 190 268 304 335 380 536 608 653 670 760 1072 1273 1306 1340 1520 2144 2546 2612 2680 3040 3265 5092 5224 5360 6365 6530 10184 10448 10720 12407 12730 13060 20368 20896 24814 25460 26120 40736 43751 49628 50920 52240 62035 87502 99256 101840 104480 124070 175004 198512 203680 218755 248140 350008 397024 437510 496280 700016 831269 875020 992560 1400032 1662538 1750040 1985120 3325076 3500080 4156345 6650152 7000160 8312690 13300304 16625380 26600608 33250760 66501520 133003040