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134496320 = 265797619
BaseRepresentation
bin10000000010001…
…00000001000000
3100101002010021012
420001010001000
5233412340240
621202420052
73222125360
oct1001040100
9311063235
10134496320
1169a13092
1239061628
1321b3122a
1413c109a0
15bc1ab65
hex8044040

134496320 has 112 divisors (see below), whose sum is σ = 370392960. Its totient is φ = 45563904.

The previous prime is 134496301. The next prime is 134496337. The reversal of 134496320 is 23694431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 216971 + ... + 217589.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2134496320 is an apocalyptic number.

134496320 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 134496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185196480).

134496320 is an abundant number, since it is smaller than the sum of its proper divisors (235896640).

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

134496320 is an equidigital number, since it uses as much as digits as its factorization.

134496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 134496320 is about 11597.2548475922. The cubic root of 134496320 is about 512.3540032282.

The spelling of 134496320 in words is "one hundred thirty-four million, four hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 140 160 194 224 280 320 388 448 485 560 619 679 776 970 1120 1238 1358 1552 1940 2240 2476 2716 3095 3104 3395 3880 4333 4952 5432 6190 6208 6790 7760 8666 9904 10864 12380 13580 15520 17332 19808 21665 21728 24760 27160 31040 34664 39616 43330 43456 49520 54320 60043 69328 86660 99040 108640 120086 138656 173320 198080 217280 240172 277312 300215 346640 420301 480344 600430 693280 840602 960688 1200860 1386560 1681204 1921376 2101505 2401720 3362408 3842752 4203010 4803440 6724816 8406020 9606880 13449632 16812040 19213760 26899264 33624080 67248160 134496320