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134056419 = 37192691249
BaseRepresentation
bin1111111110110…
…00100111100011
3100100020202211120
413333120213203
5233304301134
621145143323
73215314020
oct777304743
9310222746
10134056419
1169742632
1238a8ab43
1321a08c33
1413b38547
15bb80649
hex7fd89e3

134056419 has 32 divisors (see below), whose sum is σ = 216000000. Its totient is φ = 72244224.

The previous prime is 134056393. The next prime is 134056421. The reversal of 134056419 is 914650431.

It is not a de Polignac number, because 134056419 - 25 = 134056387 is a prime.

It is a super-3 number, since 3×1340564193 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 134056419.

It is not an unprimeable number, because it can be changed into a prime (134056519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106707 + ... + 107955.

It is an arithmetic number, because the mean of its divisors is an integer number (6750000).

Almost surely, 2134056419 is an apocalyptic number.

134056419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

134056419 is a deficient number, since it is larger than the sum of its proper divisors (81943581).

134056419 is a wasteful number, since it uses less digits than its factorization.

134056419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 134056419 is about 11578.2735759698. The cubic root of 134056419 is about 511.7948027725.

The spelling of 134056419 in words is "one hundred thirty-four million, fifty-six thousand, four hundred nineteen".

Divisors: 1 3 7 19 21 57 133 269 399 807 1249 1883 3747 5111 5649 8743 15333 23731 26229 35777 71193 107331 166117 335981 498351 1007943 2351867 6383639 7055601 19150917 44685473 134056419