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134038740 = 223511434723
BaseRepresentation
bin1111111110101…
…00010011010100
3100100012212120210
413333110103110
5233303214430
621144525420
73215211333
oct777242324
9310185523
10134038740
1169730320
1238a80870
1321a00b84
1413b31d1a
15bb7a2b0
hex7fd44d4

134038740 has 96 divisors (see below), whose sum is σ = 419037696. Its totient is φ = 31731840.

The previous prime is 134038651. The next prime is 134038759. The reversal of 134038740 is 47830431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134038698 and 134038707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26019 + ... + 30741.

It is an arithmetic number, because the mean of its divisors is an integer number (4364976).

Almost surely, 2134038740 is an apocalyptic number.

134038740 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 134038740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209518848).

134038740 is an abundant number, since it is smaller than the sum of its proper divisors (284998956).

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

134038740 is a wasteful number, since it uses less digits than its factorization.

134038740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 134038740 is about 11577.5100950075. The cubic root of 134038740 is about 511.7723037427.

The spelling of 134038740 in words is "one hundred thirty-four million, thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4723 4730 5676 7095 9446 9460 14169 14190 18892 23615 28338 28380 47230 51953 56676 70845 94460 103906 141690 155859 203089 207812 259765 283380 311718 406178 519530 609267 623436 779295 812356 1015445 1039060 1218534 1558590 2030890 2233979 2437068 3046335 3117180 4061780 4467958 6092670 6701937 8935916 11169895 12185340 13403874 22339790 26807748 33509685 44679580 67019370 134038740