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133770429 = 32132372377
BaseRepresentation
bin1111111100100…
…10110010111101
3100022201020112100
413332102302331
5233221123204
621135055313
73213013152
oct776226275
9308636470
10133770429
1169567781
1238971539
1321938a00
1413aa2229
15bb25a39
hex7f92cbd

133770429 has 36 divisors (see below), whose sum is σ = 214975956. Its totient is φ = 80061696.

The previous prime is 133770407. The next prime is 133770443. The reversal of 133770429 is 924077331.

It can be written as a sum of positive squares in 6 ways, for example, as 6125625 + 127644804 = 2475^2 + 11298^2 .

It is not a de Polignac number, because 133770429 - 221 = 131673277 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133770393 and 133770402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133770629) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55089 + ... + 57465.

Almost surely, 2133770429 is an apocalyptic number.

It is an amenable number.

133770429 is a deficient number, since it is larger than the sum of its proper divisors (81205527).

133770429 is a wasteful number, since it uses less digits than its factorization.

133770429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 133770429 is about 11565.9166951868. The cubic root of 133770429 is about 511.4305969020.

The spelling of 133770429 in words is "one hundred thirty-three million, seven hundred seventy thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 37 39 111 117 169 333 481 507 1443 1521 2377 4329 6253 7131 18759 21393 30901 56277 87949 92703 263847 278109 401713 791541 1143337 1205139 3430011 3615417 10290033 14863381 44590143 133770429